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Simplifying -1x + 4x + -2(x + -8 + 9) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Reorder the terms: -1x + 4x + -2(-8 + 9 + x) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Combine like terms: -8 + 9 = 1 -1x + 4x + -2(1 + x) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x -1x + 4x + (1 * -2 + x * -2) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x -1x + 4x + (-2 + -2x) + -16 + x + -5 = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Reorder the terms: -2 + -16 + -5 + -1x + 4x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Combine like terms: -2 + -16 = -18 -18 + -5 + -1x + 4x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Combine like terms: -18 + -5 = -23 -23 + -1x + 4x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Combine like terms: -1x + 4x = 3x -23 + 3x + -2x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Combine like terms: 3x + -2x = 1x -23 + 1x + x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Combine like terms: 1x + x = 2x -23 + 2x = 4x + -5 + 6(4x + -5 + 9) + 18 + -3x Reorder the terms: -23 + 2x = 4x + -5 + 6(-5 + 9 + 4x) + 18 + -3x Combine like terms: -5 + 9 = 4 -23 + 2x = 4x + -5 + 6(4 + 4x) + 18 + -3x -23 + 2x = 4x + -5 + (4 * 6 + 4x * 6) + 18 + -3x -23 + 2x = 4x + -5 + (24 + 24x) + 18 + -3x Reorder the terms: -23 + 2x = -5 + 24 + 18 + 4x + 24x + -3x Combine like terms: -5 + 24 = 19 -23 + 2x = 19 + 18 + 4x + 24x + -3x Combine like terms: 19 + 18 = 37 -23 + 2x = 37 + 4x + 24x + -3x Combine like terms: 4x + 24x = 28x -23 + 2x = 37 + 28x + -3x Combine like terms: 28x + -3x = 25x -23 + 2x = 37 + 25x Solving -23 + 2x = 37 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -23 + 2x + -25x = 37 + 25x + -25x Combine like terms: 2x + -25x = -23x -23 + -23x = 37 + 25x + -25x Combine like terms: 25x + -25x = 0 -23 + -23x = 37 + 0 -23 + -23x = 37 Add '23' to each side of the equation. -23 + 23 + -23x = 37 + 23 Combine like terms: -23 + 23 = 0 0 + -23x = 37 + 23 -23x = 37 + 23 Combine like terms: 37 + 23 = 60 -23x = 60 Divide each side by '-23'. x = -2.608695652 Simplifying x = -2.608695652
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