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Simplifying 3(x + -2) = 0.5(2x + 20) Reorder the terms: 3(-2 + x) = 0.5(2x + 20) (-2 * 3 + x * 3) = 0.5(2x + 20) (-6 + 3x) = 0.5(2x + 20) Reorder the terms: -6 + 3x = 0.5(20 + 2x) -6 + 3x = (20 * 0.5 + 2x * 0.5) -6 + 3x = (10 + 1x) Solving -6 + 3x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 3x + -1x = 10 + 1x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 2x = 10 + 0 -6 + 2x = 10 Add '6' to each side of the equation. -6 + 6 + 2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 10 + 6 2x = 10 + 6 Combine like terms: 10 + 6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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