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Simplifying 0.5x + 0.1(15 + -1x) = 1.15 0.5x + (15 * 0.1 + -1x * 0.1) = 1.15 0.5x + (1.5 + -0.1x) = 1.15 Reorder the terms: 1.5 + 0.5x + -0.1x = 1.15 Combine like terms: 0.5x + -0.1x = 0.4x 1.5 + 0.4x = 1.15 Solving 1.5 + 0.4x = 1.15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.4x = 1.15 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.4x = 1.15 + -1.5 0.4x = 1.15 + -1.5 Combine like terms: 1.15 + -1.5 = -0.35 0.4x = -0.35 Divide each side by '0.4'. x = -0.875 Simplifying x = -0.875
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