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Simplifying 2(4x + 2) = -3(x + -2) Reorder the terms: 2(2 + 4x) = -3(x + -2) (2 * 2 + 4x * 2) = -3(x + -2) (4 + 8x) = -3(x + -2) Reorder the terms: 4 + 8x = -3(-2 + x) 4 + 8x = (-2 * -3 + x * -3) 4 + 8x = (6 + -3x) Solving 4 + 8x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 8x + 3x = 6 + -3x + 3x Combine like terms: 8x + 3x = 11x 4 + 11x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 11x = 6 + 0 4 + 11x = 6 Add '-4' to each side of the equation. 4 + -4 + 11x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 6 + -4 11x = 6 + -4 Combine like terms: 6 + -4 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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