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Simplifying -5(3 + -1x) + 3(5 + -1x) = -1(x + 27) (3 * -5 + -1x * -5) + 3(5 + -1x) = -1(x + 27) (-15 + 5x) + 3(5 + -1x) = -1(x + 27) -15 + 5x + (5 * 3 + -1x * 3) = -1(x + 27) -15 + 5x + (15 + -3x) = -1(x + 27) Reorder the terms: -15 + 15 + 5x + -3x = -1(x + 27) Combine like terms: -15 + 15 = 0 0 + 5x + -3x = -1(x + 27) 5x + -3x = -1(x + 27) Combine like terms: 5x + -3x = 2x 2x = -1(x + 27) Reorder the terms: 2x = -1(27 + x) 2x = (27 * -1 + x * -1) 2x = (-27 + -1x) Solving 2x = -27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2x + x = -27 + -1x + x Combine like terms: 2x + x = 3x 3x = -27 + -1x + x Combine like terms: -1x + x = 0 3x = -27 + 0 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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