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Simplifying 2(3x + 4) = -2(2x + 1) Reorder the terms: 2(4 + 3x) = -2(2x + 1) (4 * 2 + 3x * 2) = -2(2x + 1) (8 + 6x) = -2(2x + 1) Reorder the terms: 8 + 6x = -2(1 + 2x) 8 + 6x = (1 * -2 + 2x * -2) 8 + 6x = (-2 + -4x) Solving 8 + 6x = -2 + -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 + 6x + 4x = -2 + -4x + 4x Combine like terms: 6x + 4x = 10x 8 + 10x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 10x = -2 + 0 8 + 10x = -2 Add '-8' to each side of the equation. 8 + -8 + 10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -2 + -8 10x = -2 + -8 Combine like terms: -2 + -8 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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