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Simplifying 10(x + 3) = 2(x + 39) Reorder the terms: 10(3 + x) = 2(x + 39) (3 * 10 + x * 10) = 2(x + 39) (30 + 10x) = 2(x + 39) Reorder the terms: 30 + 10x = 2(39 + x) 30 + 10x = (39 * 2 + x * 2) 30 + 10x = (78 + 2x) Solving 30 + 10x = 78 + 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 + 10x + -2x = 78 + 2x + -2x Combine like terms: 10x + -2x = 8x 30 + 8x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 8x = 78 + 0 30 + 8x = 78 Add '-30' to each side of the equation. 30 + -30 + 8x = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 78 + -30 8x = 78 + -30 Combine like terms: 78 + -30 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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