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Simplifying 0.183 = x + (x + -0.12)(1.5)(0.65) Reorder the terms: 0.183 = x + (-0.12 + x)(1.5)(0.65) Reorder the terms for easier multiplication: 0.183 = x + 1.5 * 0.65(-0.12 + x) Multiply 1.5 * 0.65 0.183 = x + 0.975(-0.12 + x) 0.183 = x + (-0.12 * 0.975 + x * 0.975) 0.183 = x + (-0.117 + 0.975x) Reorder the terms: 0.183 = -0.117 + x + 0.975x Combine like terms: x + 0.975x = 1.975x 0.183 = -0.117 + 1.975x Solving 0.183 = -0.117 + 1.975x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.975x' to each side of the equation. 0.183 + -1.975x = -0.117 + 1.975x + -1.975x Combine like terms: 1.975x + -1.975x = 0.000 0.183 + -1.975x = -0.117 + 0.000 0.183 + -1.975x = -0.117 Add '-0.183' to each side of the equation. 0.183 + -0.183 + -1.975x = -0.117 + -0.183 Combine like terms: 0.183 + -0.183 = 0.000 0.000 + -1.975x = -0.117 + -0.183 -1.975x = -0.117 + -0.183 Combine like terms: -0.117 + -0.183 = -0.3 -1.975x = -0.3 Divide each side by '-1.975'. x = 0.1518987342 Simplifying x = 0.1518987342
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