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Simplifying -4(x + -4) = 2(x + -2) Reorder the terms: -4(-4 + x) = 2(x + -2) (-4 * -4 + x * -4) = 2(x + -2) (16 + -4x) = 2(x + -2) Reorder the terms: 16 + -4x = 2(-2 + x) 16 + -4x = (-2 * 2 + x * 2) 16 + -4x = (-4 + 2x) Solving 16 + -4x = -4 + 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. 16 + -4x + -2x = -4 + 2x + -2x Combine like terms: -4x + -2x = -6x 16 + -6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -6x = -4 + 0 16 + -6x = -4 Add '-16' to each side of the equation. 16 + -16 + -6x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = -4 + -16 -6x = -4 + -16 Combine like terms: -4 + -16 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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