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Simplifying 0.03(4 + -0.2x) = 0.17x + -1.2 (4 * 0.03 + -0.2x * 0.03) = 0.17x + -1.2 (0.12 + -0.006x) = 0.17x + -1.2 Reorder the terms: 0.12 + -0.006x = -1.2 + 0.17x Solving 0.12 + -0.006x = -1.2 + 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. 0.12 + -0.006x + -0.17x = -1.2 + 0.17x + -0.17x Combine like terms: -0.006x + -0.17x = -0.176x 0.12 + -0.176x = -1.2 + 0.17x + -0.17x Combine like terms: 0.17x + -0.17x = 0.00 0.12 + -0.176x = -1.2 + 0.00 0.12 + -0.176x = -1.2 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -0.176x = -1.2 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.176x = -1.2 + -0.12 -0.176x = -1.2 + -0.12 Combine like terms: -1.2 + -0.12 = -1.32 -0.176x = -1.32 Divide each side by '-0.176'. x = 7.5 Simplifying x = 7.5
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