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Simplifying -0.10(28) + 0.20x = 0.05(x + -14) Multiply -0.10 * 28 -2.8 + 0.20x = 0.05(x + -14) Reorder the terms: -2.8 + 0.20x = 0.05(-14 + x) -2.8 + 0.20x = (-14 * 0.05 + x * 0.05) -2.8 + 0.20x = (-0.7 + 0.05x) Solving -2.8 + 0.20x = -0.7 + 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. -2.8 + 0.20x + -0.05x = -0.7 + 0.05x + -0.05x Combine like terms: 0.20x + -0.05x = 0.15x -2.8 + 0.15x = -0.7 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.8 + 0.15x = -0.7 + 0.00 -2.8 + 0.15x = -0.7 Add '2.8' to each side of the equation. -2.8 + 2.8 + 0.15x = -0.7 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 0.15x = -0.7 + 2.8 0.15x = -0.7 + 2.8 Combine like terms: -0.7 + 2.8 = 2.1 0.15x = 2.1 Divide each side by '0.15'. x = 14 Simplifying x = 14
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