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Simplifying 0.5(x + -9) + 0.5 = 1 + -0.6(18 + -2x) + -0.5 Reorder the terms: 0.5(-9 + x) + 0.5 = 1 + -0.6(18 + -2x) + -0.5 (-9 * 0.5 + x * 0.5) + 0.5 = 1 + -0.6(18 + -2x) + -0.5 (-4.5 + 0.5x) + 0.5 = 1 + -0.6(18 + -2x) + -0.5 Reorder the terms: -4.5 + 0.5 + 0.5x = 1 + -0.6(18 + -2x) + -0.5 Combine like terms: -4.5 + 0.5 = -4 -4 + 0.5x = 1 + -0.6(18 + -2x) + -0.5 -4 + 0.5x = 1 + (18 * -0.6 + -2x * -0.6) + -0.5 -4 + 0.5x = 1 + (-10.8 + 1.2x) + -0.5 Reorder the terms: -4 + 0.5x = 1 + -10.8 + -0.5 + 1.2x Combine like terms: 1 + -10.8 = -9.8 -4 + 0.5x = -9.8 + -0.5 + 1.2x Combine like terms: -9.8 + -0.5 = -10.3 -4 + 0.5x = -10.3 + 1.2x Solving -4 + 0.5x = -10.3 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -4 + 0.5x + -1.2x = -10.3 + 1.2x + -1.2x Combine like terms: 0.5x + -1.2x = -0.7x -4 + -0.7x = -10.3 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -4 + -0.7x = -10.3 + 0.0 -4 + -0.7x = -10.3 Add '4' to each side of the equation. -4 + 4 + -0.7x = -10.3 + 4 Combine like terms: -4 + 4 = 0 0 + -0.7x = -10.3 + 4 -0.7x = -10.3 + 4 Combine like terms: -10.3 + 4 = -6.3 -0.7x = -6.3 Divide each side by '-0.7'. x = 9 Simplifying x = 9
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