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Simplifying -4(x + 5) = 2(3x + -12) Reorder the terms: -4(5 + x) = 2(3x + -12) (5 * -4 + x * -4) = 2(3x + -12) (-20 + -4x) = 2(3x + -12) Reorder the terms: -20 + -4x = 2(-12 + 3x) -20 + -4x = (-12 * 2 + 3x * 2) -20 + -4x = (-24 + 6x) Solving -20 + -4x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + -4x + -6x = -24 + 6x + -6x Combine like terms: -4x + -6x = -10x -20 + -10x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -10x = -24 + 0 -20 + -10x = -24 Add '20' to each side of the equation. -20 + 20 + -10x = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = -24 + 20 -10x = -24 + 20 Combine like terms: -24 + 20 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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