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Simplifying 2(2x + 4) = -3(2x + 1) Reorder the terms: 2(4 + 2x) = -3(2x + 1) (4 * 2 + 2x * 2) = -3(2x + 1) (8 + 4x) = -3(2x + 1) Reorder the terms: 8 + 4x = -3(1 + 2x) 8 + 4x = (1 * -3 + 2x * -3) 8 + 4x = (-3 + -6x) Solving 8 + 4x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 4x + 6x = -3 + -6x + 6x Combine like terms: 4x + 6x = 10x 8 + 10x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 10x = -3 + 0 8 + 10x = -3 Add '-8' to each side of the equation. 8 + -8 + 10x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -3 + -8 10x = -3 + -8 Combine like terms: -3 + -8 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1
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