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Simplifying 4(3x + 5) = 2(2x + -2) Reorder the terms: 4(5 + 3x) = 2(2x + -2) (5 * 4 + 3x * 4) = 2(2x + -2) (20 + 12x) = 2(2x + -2) Reorder the terms: 20 + 12x = 2(-2 + 2x) 20 + 12x = (-2 * 2 + 2x * 2) 20 + 12x = (-4 + 4x) Solving 20 + 12x = -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. 20 + 12x + -4x = -4 + 4x + -4x Combine like terms: 12x + -4x = 8x 20 + 8x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 8x = -4 + 0 20 + 8x = -4 Add '-20' to each side of the equation. 20 + -20 + 8x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -4 + -20 8x = -4 + -20 Combine like terms: -4 + -20 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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