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Simplifying -6(x + -4) = -3(x + -5) Reorder the terms: -6(-4 + x) = -3(x + -5) (-4 * -6 + x * -6) = -3(x + -5) (24 + -6x) = -3(x + -5) Reorder the terms: 24 + -6x = -3(-5 + x) 24 + -6x = (-5 * -3 + x * -3) 24 + -6x = (15 + -3x) Solving 24 + -6x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 24 + -6x + 3x = 15 + -3x + 3x Combine like terms: -6x + 3x = -3x 24 + -3x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + -3x = 15 + 0 24 + -3x = 15 Add '-24' to each side of the equation. 24 + -24 + -3x = 15 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 15 + -24 -3x = 15 + -24 Combine like terms: 15 + -24 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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