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Simplifying 3(5 + -2x) = -2(6 + -3x) + -10x (5 * 3 + -2x * 3) = -2(6 + -3x) + -10x (15 + -6x) = -2(6 + -3x) + -10x 15 + -6x = (6 * -2 + -3x * -2) + -10x 15 + -6x = (-12 + 6x) + -10x Combine like terms: 6x + -10x = -4x 15 + -6x = -12 + -4x Solving 15 + -6x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + -6x + 4x = -12 + -4x + 4x Combine like terms: -6x + 4x = -2x 15 + -2x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -2x = -12 + 0 15 + -2x = -12 Add '-15' to each side of the equation. 15 + -15 + -2x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -12 + -15 -2x = -12 + -15 Combine like terms: -12 + -15 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5
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