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Simplifying 0.5x + -15 = 0.15(x + 10) Reorder the terms: -15 + 0.5x = 0.15(x + 10) Reorder the terms: -15 + 0.5x = 0.15(10 + x) -15 + 0.5x = (10 * 0.15 + x * 0.15) -15 + 0.5x = (1.5 + 0.15x) Solving -15 + 0.5x = 1.5 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -15 + 0.5x + -0.15x = 1.5 + 0.15x + -0.15x Combine like terms: 0.5x + -0.15x = 0.35x -15 + 0.35x = 1.5 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -15 + 0.35x = 1.5 + 0.00 -15 + 0.35x = 1.5 Add '15' to each side of the equation. -15 + 15 + 0.35x = 1.5 + 15 Combine like terms: -15 + 15 = 0 0 + 0.35x = 1.5 + 15 0.35x = 1.5 + 15 Combine like terms: 1.5 + 15 = 16.5 0.35x = 16.5 Divide each side by '0.35'. x = 47.14285714 Simplifying x = 47.14285714
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