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Simplifying 4x + 3 + -1(5x + 8) = 2x + -7 + 11 Reorder the terms: 4x + 3 + -1(8 + 5x) = 2x + -7 + 11 4x + 3 + (8 * -1 + 5x * -1) = 2x + -7 + 11 4x + 3 + (-8 + -5x) = 2x + -7 + 11 Reorder the terms: 3 + -8 + 4x + -5x = 2x + -7 + 11 Combine like terms: 3 + -8 = -5 -5 + 4x + -5x = 2x + -7 + 11 Combine like terms: 4x + -5x = -1x -5 + -1x = 2x + -7 + 11 Reorder the terms: -5 + -1x = -7 + 11 + 2x Combine like terms: -7 + 11 = 4 -5 + -1x = 4 + 2x Solving -5 + -1x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -1x + -2x = 4 + 2x + -2x Combine like terms: -1x + -2x = -3x -5 + -3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -3x = 4 + 0 -5 + -3x = 4 Add '5' to each side of the equation. -5 + 5 + -3x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 4 + 5 -3x = 4 + 5 Combine like terms: 4 + 5 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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