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Simplifying 5 = x + -1(10 + 0.1x) 5 = x + (10 * -1 + 0.1x * -1) 5 = x + (-10 + -0.1x) Reorder the terms: 5 = -10 + x + -0.1x Combine like terms: x + -0.1x = 0.9x 5 = -10 + 0.9x Solving 5 = -10 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 5 + -0.9x = -10 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 5 + -0.9x = -10 + 0.0 5 + -0.9x = -10 Add '-5' to each side of the equation. 5 + -5 + -0.9x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -0.9x = -10 + -5 -0.9x = -10 + -5 Combine like terms: -10 + -5 = -15 -0.9x = -15 Divide each side by '-0.9'. x = 16.66666667 Simplifying x = 16.66666667
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