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Simplifying 3(x + -6) + 2x = 3(x + 10) Reorder the terms: 3(-6 + x) + 2x = 3(x + 10) (-6 * 3 + x * 3) + 2x = 3(x + 10) (-18 + 3x) + 2x = 3(x + 10) Combine like terms: 3x + 2x = 5x -18 + 5x = 3(x + 10) Reorder the terms: -18 + 5x = 3(10 + x) -18 + 5x = (10 * 3 + x * 3) -18 + 5x = (30 + 3x) Solving -18 + 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. -18 + 5x + -3x = 30 + 3x + -3x Combine like terms: 5x + -3x = 2x -18 + 2x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 2x = 30 + 0 -18 + 2x = 30 Add '18' to each side of the equation. -18 + 18 + 2x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 30 + 18 2x = 30 + 18 Combine like terms: 30 + 18 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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