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Simplifying 10(x + 5) = 2(x + 61) Reorder the terms: 10(5 + x) = 2(x + 61) (5 * 10 + x * 10) = 2(x + 61) (50 + 10x) = 2(x + 61) Reorder the terms: 50 + 10x = 2(61 + x) 50 + 10x = (61 * 2 + x * 2) 50 + 10x = (122 + 2x) Solving 50 + 10x = 122 + 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. 50 + 10x + -2x = 122 + 2x + -2x Combine like terms: 10x + -2x = 8x 50 + 8x = 122 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 8x = 122 + 0 50 + 8x = 122 Add '-50' to each side of the equation. 50 + -50 + 8x = 122 + -50 Combine like terms: 50 + -50 = 0 0 + 8x = 122 + -50 8x = 122 + -50 Combine like terms: 122 + -50 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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