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Simplifying 0.18x + 0.1(20 + -1x) = 0.14(20) + 0.16x 0.18x + (20 * 0.1 + -1x * 0.1) = 0.14(20) + 0.16x 0.18x + (2 + -0.1x) = 0.14(20) + 0.16x Reorder the terms: 2 + 0.18x + -0.1x = 0.14(20) + 0.16x Combine like terms: 0.18x + -0.1x = 0.08x 2 + 0.08x = 0.14(20) + 0.16x Multiply 0.14 * 20 2 + 0.08x = 2.8 + 0.16x Solving 2 + 0.08x = 2.8 + 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. 2 + 0.08x + -0.16x = 2.8 + 0.16x + -0.16x Combine like terms: 0.08x + -0.16x = -0.08x 2 + -0.08x = 2.8 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 2 + -0.08x = 2.8 + 0.00 2 + -0.08x = 2.8 Add '-2' to each side of the equation. 2 + -2 + -0.08x = 2.8 + -2 Combine like terms: 2 + -2 = 0 0 + -0.08x = 2.8 + -2 -0.08x = 2.8 + -2 Combine like terms: 2.8 + -2 = 0.8 -0.08x = 0.8 Divide each side by '-0.08'. x = -10 Simplifying x = -10
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