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Simplifying 0.5(x + -20) + 1.5(x + -4) = x + 9 Reorder the terms: 0.5(-20 + x) + 1.5(x + -4) = x + 9 (-20 * 0.5 + x * 0.5) + 1.5(x + -4) = x + 9 (-10 + 0.5x) + 1.5(x + -4) = x + 9 Reorder the terms: -10 + 0.5x + 1.5(-4 + x) = x + 9 -10 + 0.5x + (-4 * 1.5 + x * 1.5) = x + 9 -10 + 0.5x + (-6 + 1.5x) = x + 9 Reorder the terms: -10 + -6 + 0.5x + 1.5x = x + 9 Combine like terms: -10 + -6 = -16 -16 + 0.5x + 1.5x = x + 9 Combine like terms: 0.5x + 1.5x = 2x -16 + 2x = x + 9 Reorder the terms: -16 + 2x = 9 + x Solving -16 + 2x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 2x + -1x = 9 + x + -1x Combine like terms: 2x + -1x = 1x -16 + 1x = 9 + x + -1x Combine like terms: x + -1x = 0 -16 + 1x = 9 + 0 -16 + 1x = 9 Add '16' to each side of the equation. -16 + 16 + 1x = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 9 + 16 1x = 9 + 16 Combine like terms: 9 + 16 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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