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Simplifying -4(x + -6) = 2(x + -3) Reorder the terms: -4(-6 + x) = 2(x + -3) (-6 * -4 + x * -4) = 2(x + -3) (24 + -4x) = 2(x + -3) Reorder the terms: 24 + -4x = 2(-3 + x) 24 + -4x = (-3 * 2 + x * 2) 24 + -4x = (-6 + 2x) Solving 24 + -4x = -6 + 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. 24 + -4x + -2x = -6 + 2x + -2x Combine like terms: -4x + -2x = -6x 24 + -6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -6x = -6 + 0 24 + -6x = -6 Add '-24' to each side of the equation. 24 + -24 + -6x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -6 + -24 -6x = -6 + -24 Combine like terms: -6 + -24 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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