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Simplifying 0.17x + 0.5(x + 1) = 0.1(2x + -1) Reorder the terms: 0.17x + 0.5(1 + x) = 0.1(2x + -1) 0.17x + (1 * 0.5 + x * 0.5) = 0.1(2x + -1) 0.17x + (0.5 + 0.5x) = 0.1(2x + -1) Reorder the terms: 0.5 + 0.17x + 0.5x = 0.1(2x + -1) Combine like terms: 0.17x + 0.5x = 0.67x 0.5 + 0.67x = 0.1(2x + -1) Reorder the terms: 0.5 + 0.67x = 0.1(-1 + 2x) 0.5 + 0.67x = (-1 * 0.1 + 2x * 0.1) 0.5 + 0.67x = (-0.1 + 0.2x) Solving 0.5 + 0.67x = -0.1 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.5 + 0.67x + -0.2x = -0.1 + 0.2x + -0.2x Combine like terms: 0.67x + -0.2x = 0.47x 0.5 + 0.47x = -0.1 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.5 + 0.47x = -0.1 + 0.0 0.5 + 0.47x = -0.1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.47x = -0.1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.47x = -0.1 + -0.5 0.47x = -0.1 + -0.5 Combine like terms: -0.1 + -0.5 = -0.6 0.47x = -0.6 Divide each side by '0.47'. x = -1.276595745 Simplifying x = -1.276595745
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