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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 = 2x 17 + 2x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 17 + 2x = -21 + 0 17 + 2x = -21 Add '-17' to each side of the equation. 17 + -17 + 2x = -21 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = -21 + -17 2x = -21 + -17 Combine like terms: -21 + -17 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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