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Simplifying x(1.15) + 40 + -1x(0.85) = 1.00 Reorder the terms for easier multiplication: 1.15x + 40 + -1x(0.85) = 1.00 Reorder the terms for easier multiplication: 1.15x + 40 + -1 * 0.85x = 1.00 Multiply -1 * 0.85 1.15x + 40 + -0.85x = 1.00 Reorder the terms: 40 + 1.15x + -0.85x = 1.00 Combine like terms: 1.15x + -0.85x = 0.3x 40 + 0.3x = 1.00 Solving 40 + 0.3x = 1.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 0.3x = 1.00 + -40 Combine like terms: 40 + -40 = 0 0 + 0.3x = 1.00 + -40 0.3x = 1.00 + -40 Combine like terms: 1.00 + -40 = -39 0.3x = -39 Divide each side by '0.3'. x = -130 Simplifying x = -130
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