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Simplifying 5(x + 1) + -1x = 3(x + -1) + 7 Reorder the terms: 5(1 + x) + -1x = 3(x + -1) + 7 (1 * 5 + x * 5) + -1x = 3(x + -1) + 7 (5 + 5x) + -1x = 3(x + -1) + 7 Combine like terms: 5x + -1x = 4x 5 + 4x = 3(x + -1) + 7 Reorder the terms: 5 + 4x = 3(-1 + x) + 7 5 + 4x = (-1 * 3 + x * 3) + 7 5 + 4x = (-3 + 3x) + 7 Reorder the terms: 5 + 4x = -3 + 7 + 3x Combine like terms: -3 + 7 = 4 5 + 4x = 4 + 3x Solving 5 + 4x = 4 + 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. 5 + 4x + -3x = 4 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 4 + 0 5 + 1x = 4 Add '-5' to each side of the equation. 5 + -5 + 1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 4 + -5 1x = 4 + -5 Combine like terms: 4 + -5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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