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Simplifying 0.1(5x + 20) + -5 = 3(x + 10) Reorder the terms: 0.1(20 + 5x) + -5 = 3(x + 10) (20 * 0.1 + 5x * 0.1) + -5 = 3(x + 10) (2 + 0.5x) + -5 = 3(x + 10) Reorder the terms: 2 + -5 + 0.5x = 3(x + 10) Combine like terms: 2 + -5 = -3 -3 + 0.5x = 3(x + 10) Reorder the terms: -3 + 0.5x = 3(10 + x) -3 + 0.5x = (10 * 3 + x * 3) -3 + 0.5x = (30 + 3x) Solving -3 + 0.5x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 0.5x + -3x = 30 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -3 + -2.5x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -2.5x = 30 + 0 -3 + -2.5x = 30 Add '3' to each side of the equation. -3 + 3 + -2.5x = 30 + 3 Combine like terms: -3 + 3 = 0 0 + -2.5x = 30 + 3 -2.5x = 30 + 3 Combine like terms: 30 + 3 = 33 -2.5x = 33 Divide each side by '-2.5'. x = -13.2 Simplifying x = -13.2
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