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Simplifying x + -1(x + -1(x + -15)) + -1(x * 0.15) = 40 Reorder the terms: x + -1(x + -1(-15 + x)) + -1(x * 0.15) = 40 x + -1(x + (-15 * -1 + x * -1)) + -1(x * 0.15) = 40 x + -1(x + (15 + -1x)) + -1(x * 0.15) = 40 Reorder the terms: x + -1(15 + x + -1x) + -1(x * 0.15) = 40 Combine like terms: x + -1x = 0 x + -1(15 + 0) + -1(x * 0.15) = 40 x + -1(15) + -1(x * 0.15) = 40 Multiply -1 * 15 x + -15 + -1(x * 0.15) = 40 Reorder the terms for easier multiplication: x + -15 + -1(0.15x) = 40 Remove parenthesis around (0.15x) x + -15 + -1 * 0.15x = 40 Multiply -1 * 0.15 x + -15 + -0.15x = 40 Reorder the terms: -15 + x + -0.15x = 40 Combine like terms: x + -0.15x = 0.85x -15 + 0.85x = 40 Solving -15 + 0.85x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 0.85x = 40 + 15 Combine like terms: -15 + 15 = 0 0 + 0.85x = 40 + 15 0.85x = 40 + 15 Combine like terms: 40 + 15 = 55 0.85x = 55 Divide each side by '0.85'. x = 64.70588235 Simplifying x = 64.70588235
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