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Simplifying 0.06(5 + -3x) = -0.17x + 0.2 (5 * 0.06 + -3x * 0.06) = -0.17x + 0.2 (0.3 + -0.18x) = -0.17x + 0.2 Reorder the terms: 0.3 + -0.18x = 0.2 + -0.17x Solving 0.3 + -0.18x = 0.2 + -0.17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.17x' to each side of the equation. 0.3 + -0.18x + 0.17x = 0.2 + -0.17x + 0.17x Combine like terms: -0.18x + 0.17x = -0.01x 0.3 + -0.01x = 0.2 + -0.17x + 0.17x Combine like terms: -0.17x + 0.17x = 0.00 0.3 + -0.01x = 0.2 + 0.00 0.3 + -0.01x = 0.2 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.01x = 0.2 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.01x = 0.2 + -0.3 -0.01x = 0.2 + -0.3 Combine like terms: 0.2 + -0.3 = -0.1 -0.01x = -0.1 Divide each side by '-0.01'. x = 10 Simplifying x = 10
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