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Simplifying 0.08x + 0.25(x + -6) = 0.03(x + 10) Reorder the terms: 0.08x + 0.25(-6 + x) = 0.03(x + 10) 0.08x + (-6 * 0.25 + x * 0.25) = 0.03(x + 10) 0.08x + (-1.5 + 0.25x) = 0.03(x + 10) Reorder the terms: -1.5 + 0.08x + 0.25x = 0.03(x + 10) Combine like terms: 0.08x + 0.25x = 0.33x -1.5 + 0.33x = 0.03(x + 10) Reorder the terms: -1.5 + 0.33x = 0.03(10 + x) -1.5 + 0.33x = (10 * 0.03 + x * 0.03) -1.5 + 0.33x = (0.3 + 0.03x) Solving -1.5 + 0.33x = 0.3 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1.5 + 0.33x + -0.03x = 0.3 + 0.03x + -0.03x Combine like terms: 0.33x + -0.03x = 0.3x -1.5 + 0.3x = 0.3 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1.5 + 0.3x = 0.3 + 0.00 -1.5 + 0.3x = 0.3 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.3x = 0.3 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.3x = 0.3 + 1.5 0.3x = 0.3 + 1.5 Combine like terms: 0.3 + 1.5 = 1.8 0.3x = 1.8 Divide each side by '0.3'. x = 6 Simplifying x = 6
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