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Simplifying 3(x + -10) = 2(x + 10) Reorder the terms: 3(-10 + x) = 2(x + 10) (-10 * 3 + x * 3) = 2(x + 10) (-30 + 3x) = 2(x + 10) Reorder the terms: -30 + 3x = 2(10 + x) -30 + 3x = (10 * 2 + x * 2) -30 + 3x = (20 + 2x) Solving -30 + 3x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x -30 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 1x = 20 + 0 -30 + 1x = 20 Add '30' to each side of the equation. -30 + 30 + 1x = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 20 + 30 1x = 20 + 30 Combine like terms: 20 + 30 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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