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Simplifying 4(4x + 3) = -2(2x + 4) Reorder the terms: 4(3 + 4x) = -2(2x + 4) (3 * 4 + 4x * 4) = -2(2x + 4) (12 + 16x) = -2(2x + 4) Reorder the terms: 12 + 16x = -2(4 + 2x) 12 + 16x = (4 * -2 + 2x * -2) 12 + 16x = (-8 + -4x) Solving 12 + 16x = -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. 12 + 16x + 4x = -8 + -4x + 4x Combine like terms: 16x + 4x = 20x 12 + 20x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 20x = -8 + 0 12 + 20x = -8 Add '-12' to each side of the equation. 12 + -12 + 20x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 20x = -8 + -12 20x = -8 + -12 Combine like terms: -8 + -12 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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