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Simplifying -4(x + -4) = 6(x + -4) Reorder the terms: -4(-4 + x) = 6(x + -4) (-4 * -4 + x * -4) = 6(x + -4) (16 + -4x) = 6(x + -4) Reorder the terms: 16 + -4x = 6(-4 + x) 16 + -4x = (-4 * 6 + x * 6) 16 + -4x = (-24 + 6x) Solving 16 + -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. 16 + -4x + -6x = -24 + 6x + -6x Combine like terms: -4x + -6x = -10x 16 + -10x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -10x = -24 + 0 16 + -10x = -24 Add '-16' to each side of the equation. 16 + -16 + -10x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -24 + -16 -10x = -24 + -16 Combine like terms: -24 + -16 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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