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Simplifying 10(x + 3) = 2(x + 47) Reorder the terms: 10(3 + x) = 2(x + 47) (3 * 10 + x * 10) = 2(x + 47) (30 + 10x) = 2(x + 47) Reorder the terms: 30 + 10x = 2(47 + x) 30 + 10x = (47 * 2 + x * 2) 30 + 10x = (94 + 2x) Solving 30 + 10x = 94 + 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 = 94 + 2x + -2x Combine like terms: 10x + -2x = 8x 30 + 8x = 94 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 8x = 94 + 0 30 + 8x = 94 Add '-30' to each side of the equation. 30 + -30 + 8x = 94 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 94 + -30 8x = 94 + -30 Combine like terms: 94 + -30 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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