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Simplifying -3(x + -2) = 5(2x + -12) Reorder the terms: -3(-2 + x) = 5(2x + -12) (-2 * -3 + x * -3) = 5(2x + -12) (6 + -3x) = 5(2x + -12) Reorder the terms: 6 + -3x = 5(-12 + 2x) 6 + -3x = (-12 * 5 + 2x * 5) 6 + -3x = (-60 + 10x) Solving 6 + -3x = -60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + -3x + -10x = -60 + 10x + -10x Combine like terms: -3x + -10x = -13x 6 + -13x = -60 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -13x = -60 + 0 6 + -13x = -60 Add '-6' to each side of the equation. 6 + -6 + -13x = -60 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = -60 + -6 -13x = -60 + -6 Combine like terms: -60 + -6 = -66 -13x = -66 Divide each side by '-13'. x = 5.076923077 Simplifying x = 5.076923077
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