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Simplifying 3(1 + x) + -1x + 2 = 5x + -7 (1 * 3 + x * 3) + -1x + 2 = 5x + -7 (3 + 3x) + -1x + 2 = 5x + -7 Reorder the terms: 3 + 2 + 3x + -1x = 5x + -7 Combine like terms: 3 + 2 = 5 5 + 3x + -1x = 5x + -7 Combine like terms: 3x + -1x = 2x 5 + 2x = 5x + -7 Reorder the terms: 5 + 2x = -7 + 5x Solving 5 + 2x = -7 + 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. 5 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = -7 + 0 5 + -3x = -7 Add '-5' to each side of the equation. 5 + -5 + -3x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -7 + -5 -3x = -7 + -5 Combine like terms: -7 + -5 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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