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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 = 7 7 + 0.5x = 3(x + 10) Reorder the terms: 7 + 0.5x = 3(10 + x) 7 + 0.5x = (10 * 3 + x * 3) 7 + 0.5x = (30 + 3x) Solving 7 + 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. 7 + 0.5x + -3x = 30 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 7 + -2.5x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -2.5x = 30 + 0 7 + -2.5x = 30 Add '-7' to each side of the equation. 7 + -7 + -2.5x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -2.5x = 30 + -7 -2.5x = 30 + -7 Combine like terms: 30 + -7 = 23 -2.5x = 23 Divide each side by '-2.5'. x = -9.2 Simplifying x = -9.2
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