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Simplifying 4(2x + 4) + -2(x + -2) = 4(x + -2) Reorder the terms: 4(4 + 2x) + -2(x + -2) = 4(x + -2) (4 * 4 + 2x * 4) + -2(x + -2) = 4(x + -2) (16 + 8x) + -2(x + -2) = 4(x + -2) Reorder the terms: 16 + 8x + -2(-2 + x) = 4(x + -2) 16 + 8x + (-2 * -2 + x * -2) = 4(x + -2) 16 + 8x + (4 + -2x) = 4(x + -2) Reorder the terms: 16 + 4 + 8x + -2x = 4(x + -2) Combine like terms: 16 + 4 = 20 20 + 8x + -2x = 4(x + -2) Combine like terms: 8x + -2x = 6x 20 + 6x = 4(x + -2) Reorder the terms: 20 + 6x = 4(-2 + x) 20 + 6x = (-2 * 4 + x * 4) 20 + 6x = (-8 + 4x) Solving 20 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x 20 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 2x = -8 + 0 20 + 2x = -8 Add '-20' to each side of the equation. 20 + -20 + 2x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = -8 + -20 2x = -8 + -20 Combine like terms: -8 + -20 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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