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Simplifying 0.12 = x + (1 + -0.30)(x + -0.04)(0.25) Combine like terms: 1 + -0.30 = 0.7 0.12 = x + (0.7)(x + -0.04)(0.25) Reorder the terms: 0.12 = x + 0.7(-0.04 + x)(0.25) Reorder the terms for easier multiplication: 0.12 = x + 0.7 * 0.25(-0.04 + x) Multiply 0.7 * 0.25 0.12 = x + 0.175(-0.04 + x) 0.12 = x + (-0.04 * 0.175 + x * 0.175) 0.12 = x + (-0.007 + 0.175x) Reorder the terms: 0.12 = -0.007 + x + 0.175x Combine like terms: x + 0.175x = 1.175x 0.12 = -0.007 + 1.175x Solving 0.12 = -0.007 + 1.175x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.175x' to each side of the equation. 0.12 + -1.175x = -0.007 + 1.175x + -1.175x Combine like terms: 1.175x + -1.175x = 0.000 0.12 + -1.175x = -0.007 + 0.000 0.12 + -1.175x = -0.007 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -1.175x = -0.007 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -1.175x = -0.007 + -0.12 -1.175x = -0.007 + -0.12 Combine like terms: -0.007 + -0.12 = -0.127 -1.175x = -0.127 Divide each side by '-1.175'. x = 0.1080851064 Simplifying x = 0.1080851064
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