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Simplifying 3(5 + -1x) + -2(x + -1) = 7(x + 3) (5 * 3 + -1x * 3) + -2(x + -1) = 7(x + 3) (15 + -3x) + -2(x + -1) = 7(x + 3) Reorder the terms: 15 + -3x + -2(-1 + x) = 7(x + 3) 15 + -3x + (-1 * -2 + x * -2) = 7(x + 3) 15 + -3x + (2 + -2x) = 7(x + 3) Reorder the terms: 15 + 2 + -3x + -2x = 7(x + 3) Combine like terms: 15 + 2 = 17 17 + -3x + -2x = 7(x + 3) Combine like terms: -3x + -2x = -5x 17 + -5x = 7(x + 3) Reorder the terms: 17 + -5x = 7(3 + x) 17 + -5x = (3 * 7 + x * 7) 17 + -5x = (21 + 7x) Solving 17 + -5x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + -5x + -7x = 21 + 7x + -7x Combine like terms: -5x + -7x = -12x 17 + -12x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -12x = 21 + 0 17 + -12x = 21 Add '-17' to each side of the equation. 17 + -17 + -12x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + -12x = 21 + -17 -12x = 21 + -17 Combine like terms: 21 + -17 = 4 -12x = 4 Divide each side by '-12'. x = -0.3333333333 Simplifying x = -0.3333333333
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