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Simplifying -0.10(18) + 0.15x = 0.05(x + -8) Multiply -0.10 * 18 -1.8 + 0.15x = 0.05(x + -8) Reorder the terms: -1.8 + 0.15x = 0.05(-8 + x) -1.8 + 0.15x = (-8 * 0.05 + x * 0.05) -1.8 + 0.15x = (-0.4 + 0.05x) Solving -1.8 + 0.15x = -0.4 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -1.8 + 0.15x + -0.05x = -0.4 + 0.05x + -0.05x Combine like terms: 0.15x + -0.05x = 0.1x -1.8 + 0.1x = -0.4 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.8 + 0.1x = -0.4 + 0.00 -1.8 + 0.1x = -0.4 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.1x = -0.4 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.1x = -0.4 + 1.8 0.1x = -0.4 + 1.8 Combine like terms: -0.4 + 1.8 = 1.4 0.1x = 1.4 Divide each side by '0.1'. x = 14 Simplifying x = 14
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