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Simplifying 4(x + -4) + 2(x + 2) = 2(x + -2) Reorder the terms: 4(-4 + x) + 2(x + 2) = 2(x + -2) (-4 * 4 + x * 4) + 2(x + 2) = 2(x + -2) (-16 + 4x) + 2(x + 2) = 2(x + -2) Reorder the terms: -16 + 4x + 2(2 + x) = 2(x + -2) -16 + 4x + (2 * 2 + x * 2) = 2(x + -2) -16 + 4x + (4 + 2x) = 2(x + -2) Reorder the terms: -16 + 4 + 4x + 2x = 2(x + -2) Combine like terms: -16 + 4 = -12 -12 + 4x + 2x = 2(x + -2) Combine like terms: 4x + 2x = 6x -12 + 6x = 2(x + -2) Reorder the terms: -12 + 6x = 2(-2 + x) -12 + 6x = (-2 * 2 + x * 2) -12 + 6x = (-4 + 2x) Solving -12 + 6x = -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. -12 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = -4 + 0 -12 + 4x = -4 Add '12' to each side of the equation. -12 + 12 + 4x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -4 + 12 4x = -4 + 12 Combine like terms: -4 + 12 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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