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Simplifying 3(x + -2) + 10 = 2(x + 5) Reorder the terms: 3(-2 + x) + 10 = 2(x + 5) (-2 * 3 + x * 3) + 10 = 2(x + 5) (-6 + 3x) + 10 = 2(x + 5) Reorder the terms: -6 + 10 + 3x = 2(x + 5) Combine like terms: -6 + 10 = 4 4 + 3x = 2(x + 5) Reorder the terms: 4 + 3x = 2(5 + x) 4 + 3x = (5 * 2 + x * 2) 4 + 3x = (10 + 2x) Solving 4 + 3x = 10 + 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. 4 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x = 10 + 0 4 + 1x = 10 Add '-4' to each side of the equation. 4 + -4 + 1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 10 + -4 1x = 10 + -4 Combine like terms: 10 + -4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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