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Simplifying x + -2x(12 + -0.5) = 2(4 + -2x) + 20 Combine like terms: 12 + -0.5 = 11.5 x + -2x(11.5) = 2(4 + -2x) + 20 Reorder the terms for easier multiplication: x + -2 * 11.5x = 2(4 + -2x) + 20 Multiply -2 * 11.5 x + -23x = 2(4 + -2x) + 20 Combine like terms: x + -23x = -22x -22x = 2(4 + -2x) + 20 -22x = (4 * 2 + -2x * 2) + 20 -22x = (8 + -4x) + 20 Reorder the terms: -22x = 8 + 20 + -4x Combine like terms: 8 + 20 = 28 -22x = 28 + -4x Solving -22x = 28 + -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. -22x + 4x = 28 + -4x + 4x Combine like terms: -22x + 4x = -18x -18x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 -18x = 28 + 0 -18x = 28 Divide each side by '-18'. x = -1.555555556 Simplifying x = -1.555555556
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