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Simplifying 4(x + 1) + -8 = 5(x + -1) + 7 Reorder the terms: 4(1 + x) + -8 = 5(x + -1) + 7 (1 * 4 + x * 4) + -8 = 5(x + -1) + 7 (4 + 4x) + -8 = 5(x + -1) + 7 Reorder the terms: 4 + -8 + 4x = 5(x + -1) + 7 Combine like terms: 4 + -8 = -4 -4 + 4x = 5(x + -1) + 7 Reorder the terms: -4 + 4x = 5(-1 + x) + 7 -4 + 4x = (-1 * 5 + x * 5) + 7 -4 + 4x = (-5 + 5x) + 7 Reorder the terms: -4 + 4x = -5 + 7 + 5x Combine like terms: -5 + 7 = 2 -4 + 4x = 2 + 5x Solving -4 + 4x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 4x + -5x = 2 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = 2 + 0 -4 + -1x = 2 Add '4' to each side of the equation. -4 + 4 + -1x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 2 + 4 -1x = 2 + 4 Combine like terms: 2 + 4 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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