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Simplifying 4(x + 2) + 4 = -2(x + -4) Reorder the terms: 4(2 + x) + 4 = -2(x + -4) (2 * 4 + x * 4) + 4 = -2(x + -4) (8 + 4x) + 4 = -2(x + -4) Reorder the terms: 8 + 4 + 4x = -2(x + -4) Combine like terms: 8 + 4 = 12 12 + 4x = -2(x + -4) Reorder the terms: 12 + 4x = -2(-4 + x) 12 + 4x = (-4 * -2 + x * -2) 12 + 4x = (8 + -2x) Solving 12 + 4x = 8 + -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 + 4x + 2x = 8 + -2x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 6x = 8 + 0 12 + 6x = 8 Add '-12' to each side of the equation. 12 + -12 + 6x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 8 + -12 6x = 8 + -12 Combine like terms: 8 + -12 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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