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Simplifying 0.35 + 0.5 = 0.10(10 + x) Combine like terms: 0.35 + 0.5 = 0.85 0.85 = 0.10(10 + x) 0.85 = (10 * 0.10 + x * 0.10) 0.85 = (1 + 0.10x) Solving 0.85 = 1 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 0.85 + -0.10x = 1 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.85 + -0.10x = 1 + 0.00 0.85 + -0.10x = 1 Add '-0.85' to each side of the equation. 0.85 + -0.85 + -0.10x = 1 + -0.85 Combine like terms: 0.85 + -0.85 = 0.00 0.00 + -0.10x = 1 + -0.85 -0.10x = 1 + -0.85 Combine like terms: 1 + -0.85 = 0.15 -0.10x = 0.15 Divide each side by '-0.10'. x = -1.5 Simplifying x = -1.5
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