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Simplifying 10(x + 4) = 2(x + 52) Reorder the terms: 10(4 + x) = 2(x + 52) (4 * 10 + x * 10) = 2(x + 52) (40 + 10x) = 2(x + 52) Reorder the terms: 40 + 10x = 2(52 + x) 40 + 10x = (52 * 2 + x * 2) 40 + 10x = (104 + 2x) Solving 40 + 10x = 104 + 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. 40 + 10x + -2x = 104 + 2x + -2x Combine like terms: 10x + -2x = 8x 40 + 8x = 104 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 8x = 104 + 0 40 + 8x = 104 Add '-40' to each side of the equation. 40 + -40 + 8x = 104 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 104 + -40 8x = 104 + -40 Combine like terms: 104 + -40 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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