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Simplifying 10(x + 3) = 2(x + 51) Reorder the terms: 10(3 + x) = 2(x + 51) (3 * 10 + x * 10) = 2(x + 51) (30 + 10x) = 2(x + 51) Reorder the terms: 30 + 10x = 2(51 + x) 30 + 10x = (51 * 2 + x * 2) 30 + 10x = (102 + 2x) Solving 30 + 10x = 102 + 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 = 102 + 2x + -2x Combine like terms: 10x + -2x = 8x 30 + 8x = 102 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 8x = 102 + 0 30 + 8x = 102 Add '-30' to each side of the equation. 30 + -30 + 8x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 102 + -30 8x = 102 + -30 Combine like terms: 102 + -30 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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