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Simplifying 0.20x + 0.10(40) = 0.16(x + 10) Multiply 0.10 * 40 0.20x + 4 = 0.16(x + 10) Reorder the terms: 4 + 0.20x = 0.16(x + 10) Reorder the terms: 4 + 0.20x = 0.16(10 + x) 4 + 0.20x = (10 * 0.16 + x * 0.16) 4 + 0.20x = (1.6 + 0.16x) Solving 4 + 0.20x = 1.6 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 4 + 0.20x + -0.16x = 1.6 + 0.16x + -0.16x Combine like terms: 0.20x + -0.16x = 0.04x 4 + 0.04x = 1.6 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 4 + 0.04x = 1.6 + 0.00 4 + 0.04x = 1.6 Add '-4' to each side of the equation. 4 + -4 + 0.04x = 1.6 + -4 Combine like terms: 4 + -4 = 0 0 + 0.04x = 1.6 + -4 0.04x = 1.6 + -4 Combine like terms: 1.6 + -4 = -2.4 0.04x = -2.4 Divide each side by '0.04'. x = -60 Simplifying x = -60
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