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Simplifying 4(5x + 2) = -2(2x + 2) Reorder the terms: 4(2 + 5x) = -2(2x + 2) (2 * 4 + 5x * 4) = -2(2x + 2) (8 + 20x) = -2(2x + 2) Reorder the terms: 8 + 20x = -2(2 + 2x) 8 + 20x = (2 * -2 + 2x * -2) 8 + 20x = (-4 + -4x) Solving 8 + 20x = -4 + -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. 8 + 20x + 4x = -4 + -4x + 4x Combine like terms: 20x + 4x = 24x 8 + 24x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 24x = -4 + 0 8 + 24x = -4 Add '-8' to each side of the equation. 8 + -8 + 24x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 24x = -4 + -8 24x = -4 + -8 Combine like terms: -4 + -8 = -12 24x = -12 Divide each side by '24'. x = -0.5 Simplifying x = -0.5
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