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Simplifying (0.05)(50) + -1(x) = (0.08)(50 + -1x) Multiply 0.05 * 50 2.5 + -1(x) = (0.08)(50 + -1x) 2.5 + -1x = (50 * 0.08 + -1x * 0.08) 2.5 + -1x = (4 + -0.08x) Solving 2.5 + -1x = 4 + -0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08x' to each side of the equation. 2.5 + -1x + 0.08x = 4 + -0.08x + 0.08x Combine like terms: -1x + 0.08x = -0.92x 2.5 + -0.92x = 4 + -0.08x + 0.08x Combine like terms: -0.08x + 0.08x = 0.00 2.5 + -0.92x = 4 + 0.00 2.5 + -0.92x = 4 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.92x = 4 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.92x = 4 + -2.5 -0.92x = 4 + -2.5 Combine like terms: 4 + -2.5 = 1.5 -0.92x = 1.5 Divide each side by '-0.92'. x = -1.630434783 Simplifying x = -1.630434783
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