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Simplifying 0.17173 = x + (x + -0.071)(1.8)(1 + -0.35) Reorder the terms: 0.17173 = x + (-0.071 + x)(1.8)(1 + -0.35) Combine like terms: 1 + -0.35 = 0.65 0.17173 = x + (-0.071 + x) * 1.8(0.65) Reorder the terms for easier multiplication: 0.17173 = x + 1.8 * 0.65(-0.071 + x) Multiply 1.8 * 0.65 0.17173 = x + 1.17(-0.071 + x) 0.17173 = x + (-0.071 * 1.17 + x * 1.17) 0.17173 = x + (-0.08307 + 1.17x) Reorder the terms: 0.17173 = -0.08307 + x + 1.17x Combine like terms: x + 1.17x = 2.17x 0.17173 = -0.08307 + 2.17x Solving 0.17173 = -0.08307 + 2.17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.17x' to each side of the equation. 0.17173 + -2.17x = -0.08307 + 2.17x + -2.17x Combine like terms: 2.17x + -2.17x = 0.00 0.17173 + -2.17x = -0.08307 + 0.00 0.17173 + -2.17x = -0.08307 Add '-0.17173' to each side of the equation. 0.17173 + -0.17173 + -2.17x = -0.08307 + -0.17173 Combine like terms: 0.17173 + -0.17173 = 0.00000 0.00000 + -2.17x = -0.08307 + -0.17173 -2.17x = -0.08307 + -0.17173 Combine like terms: -0.08307 + -0.17173 = -0.2548 -2.17x = -0.2548 Divide each side by '-2.17'. x = 0.1174193548 Simplifying x = 0.1174193548
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