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Simplifying 3(x + 10) = 2(x + 4) Reorder the terms: 3(10 + x) = 2(x + 4) (10 * 3 + x * 3) = 2(x + 4) (30 + 3x) = 2(x + 4) Reorder the terms: 30 + 3x = 2(4 + x) 30 + 3x = (4 * 2 + x * 2) 30 + 3x = (8 + 2x) Solving 30 + 3x = 8 + 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 = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 30 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 1x = 8 + 0 30 + 1x = 8 Add '-30' to each side of the equation. 30 + -30 + 1x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 8 + -30 1x = 8 + -30 Combine like terms: 8 + -30 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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