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Simplifying 4x + -3(x + 5) + -8 = 7 + 4(2x + 1) + -5x Reorder the terms: 4x + -3(5 + x) + -8 = 7 + 4(2x + 1) + -5x 4x + (5 * -3 + x * -3) + -8 = 7 + 4(2x + 1) + -5x 4x + (-15 + -3x) + -8 = 7 + 4(2x + 1) + -5x Reorder the terms: -15 + -8 + 4x + -3x = 7 + 4(2x + 1) + -5x Combine like terms: -15 + -8 = -23 -23 + 4x + -3x = 7 + 4(2x + 1) + -5x Combine like terms: 4x + -3x = 1x -23 + 1x = 7 + 4(2x + 1) + -5x Reorder the terms: -23 + 1x = 7 + 4(1 + 2x) + -5x -23 + 1x = 7 + (1 * 4 + 2x * 4) + -5x -23 + 1x = 7 + (4 + 8x) + -5x Combine like terms: 7 + 4 = 11 -23 + 1x = 11 + 8x + -5x Combine like terms: 8x + -5x = 3x -23 + 1x = 11 + 3x Solving -23 + 1x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -23 + 1x + -3x = 11 + 3x + -3x Combine like terms: 1x + -3x = -2x -23 + -2x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + -2x = 11 + 0 -23 + -2x = 11 Add '23' to each side of the equation. -23 + 23 + -2x = 11 + 23 Combine like terms: -23 + 23 = 0 0 + -2x = 11 + 23 -2x = 11 + 23 Combine like terms: 11 + 23 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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