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Simplifying 5 + -3(x + -6) = 2(x + -6) Reorder the terms: 5 + -3(-6 + x) = 2(x + -6) 5 + (-6 * -3 + x * -3) = 2(x + -6) 5 + (18 + -3x) = 2(x + -6) Combine like terms: 5 + 18 = 23 23 + -3x = 2(x + -6) Reorder the terms: 23 + -3x = 2(-6 + x) 23 + -3x = (-6 * 2 + x * 2) 23 + -3x = (-12 + 2x) Solving 23 + -3x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + -3x + -2x = -12 + 2x + -2x Combine like terms: -3x + -2x = -5x 23 + -5x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + -5x = -12 + 0 23 + -5x = -12 Add '-23' to each side of the equation. 23 + -23 + -5x = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = -12 + -23 -5x = -12 + -23 Combine like terms: -12 + -23 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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