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Simplifying 10(x + 2) = 2(x + 42) Reorder the terms: 10(2 + x) = 2(x + 42) (2 * 10 + x * 10) = 2(x + 42) (20 + 10x) = 2(x + 42) Reorder the terms: 20 + 10x = 2(42 + x) 20 + 10x = (42 * 2 + x * 2) 20 + 10x = (84 + 2x) Solving 20 + 10x = 84 + 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. 20 + 10x + -2x = 84 + 2x + -2x Combine like terms: 10x + -2x = 8x 20 + 8x = 84 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 8x = 84 + 0 20 + 8x = 84 Add '-20' to each side of the equation. 20 + -20 + 8x = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 84 + -20 8x = 84 + -20 Combine like terms: 84 + -20 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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