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Simplifying 0.1070 = x + (x + -0.056)(1.1)(1 + -0.35) Reorder the terms: 0.1070 = x + (-0.056 + x)(1.1)(1 + -0.35) Combine like terms: 1 + -0.35 = 0.65 0.1070 = x + (-0.056 + x) * 1.1(0.65) Reorder the terms for easier multiplication: 0.1070 = x + 1.1 * 0.65(-0.056 + x) Multiply 1.1 * 0.65 0.1070 = x + 0.715(-0.056 + x) 0.1070 = x + (-0.056 * 0.715 + x * 0.715) 0.1070 = x + (-0.04004 + 0.715x) Reorder the terms: 0.1070 = -0.04004 + x + 0.715x Combine like terms: x + 0.715x = 1.715x 0.1070 = -0.04004 + 1.715x Solving 0.1070 = -0.04004 + 1.715x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.715x' to each side of the equation. 0.1070 + -1.715x = -0.04004 + 1.715x + -1.715x Combine like terms: 1.715x + -1.715x = 0.000 0.1070 + -1.715x = -0.04004 + 0.000 0.1070 + -1.715x = -0.04004 Add '-0.1070' to each side of the equation. 0.1070 + -0.1070 + -1.715x = -0.04004 + -0.1070 Combine like terms: 0.1070 + -0.1070 = 0.0000 0.0000 + -1.715x = -0.04004 + -0.1070 -1.715x = -0.04004 + -0.1070 Combine like terms: -0.04004 + -0.1070 = -0.14704 -1.715x = -0.14704 Divide each side by '-1.715'. x = 0.08573760933 Simplifying x = 0.08573760933
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