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Simplifying -0.10(15) + 0.25x = 0.05(x + -6) Multiply -0.10 * 15 -1.5 + 0.25x = 0.05(x + -6) Reorder the terms: -1.5 + 0.25x = 0.05(-6 + x) -1.5 + 0.25x = (-6 * 0.05 + x * 0.05) -1.5 + 0.25x = (-0.3 + 0.05x) Solving -1.5 + 0.25x = -0.3 + 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. -1.5 + 0.25x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.25x + -0.05x = 0.2x -1.5 + 0.2x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.5 + 0.2x = -0.3 + 0.00 -1.5 + 0.2x = -0.3 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.2x = -0.3 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.2x = -0.3 + 1.5 0.2x = -0.3 + 1.5 Combine like terms: -0.3 + 1.5 = 1.2 0.2x = 1.2 Divide each side by '0.2'. x = 6 Simplifying x = 6
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