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Simplifying 0.15(x + 10) = 8x + 20 Reorder the terms: 0.15(10 + x) = 8x + 20 (10 * 0.15 + x * 0.15) = 8x + 20 (1.5 + 0.15x) = 8x + 20 Reorder the terms: 1.5 + 0.15x = 20 + 8x Solving 1.5 + 0.15x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1.5 + 0.15x + -8x = 20 + 8x + -8x Combine like terms: 0.15x + -8x = -7.85x 1.5 + -7.85x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 1.5 + -7.85x = 20 + 0 1.5 + -7.85x = 20 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -7.85x = 20 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -7.85x = 20 + -1.5 -7.85x = 20 + -1.5 Combine like terms: 20 + -1.5 = 18.5 -7.85x = 18.5 Divide each side by '-7.85'. x = -2.356687898 Simplifying x = -2.356687898
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