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Simplifying 0.10(x + 10) + 0.05 = 0.65 Reorder the terms: 0.10(10 + x) + 0.05 = 0.65 (10 * 0.10 + x * 0.10) + 0.05 = 0.65 (1 + 0.10x) + 0.05 = 0.65 Reorder the terms: 1 + 0.05 + 0.10x = 0.65 Combine like terms: 1 + 0.05 = 1.05 1.05 + 0.10x = 0.65 Solving 1.05 + 0.10x = 0.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.05' to each side of the equation. 1.05 + -1.05 + 0.10x = 0.65 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + 0.10x = 0.65 + -1.05 0.10x = 0.65 + -1.05 Combine like terms: 0.65 + -1.05 = -0.4 0.10x = -0.4 Divide each side by '0.10'. x = -4 Simplifying x = -4
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