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Simplifying 3(1 + -1x) = 5(x + 7) (1 * 3 + -1x * 3) = 5(x + 7) (3 + -3x) = 5(x + 7) Reorder the terms: 3 + -3x = 5(7 + x) 3 + -3x = (7 * 5 + x * 5) 3 + -3x = (35 + 5x) Solving 3 + -3x = 35 + 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. 3 + -3x + -5x = 35 + 5x + -5x Combine like terms: -3x + -5x = -8x 3 + -8x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -8x = 35 + 0 3 + -8x = 35 Add '-3' to each side of the equation. 3 + -3 + -8x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 35 + -3 -8x = 35 + -3 Combine like terms: 35 + -3 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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