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Simplifying 3(-1x + 5) = 6(x + -2) Reorder the terms: 3(5 + -1x) = 6(x + -2) (5 * 3 + -1x * 3) = 6(x + -2) (15 + -3x) = 6(x + -2) Reorder the terms: 15 + -3x = 6(-2 + x) 15 + -3x = (-2 * 6 + x * 6) 15 + -3x = (-12 + 6x) Solving 15 + -3x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + -3x + -6x = -12 + 6x + -6x Combine like terms: -3x + -6x = -9x 15 + -9x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -9x = -12 + 0 15 + -9x = -12 Add '-15' to each side of the equation. 15 + -15 + -9x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -12 + -15 -9x = -12 + -15 Combine like terms: -12 + -15 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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