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Simplifying 10(x + 5) = 2(x + 49) Reorder the terms: 10(5 + x) = 2(x + 49) (5 * 10 + x * 10) = 2(x + 49) (50 + 10x) = 2(x + 49) Reorder the terms: 50 + 10x = 2(49 + x) 50 + 10x = (49 * 2 + x * 2) 50 + 10x = (98 + 2x) Solving 50 + 10x = 98 + 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 = 98 + 2x + -2x Combine like terms: 10x + -2x = 8x 50 + 8x = 98 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 8x = 98 + 0 50 + 8x = 98 Add '-50' to each side of the equation. 50 + -50 + 8x = 98 + -50 Combine like terms: 50 + -50 = 0 0 + 8x = 98 + -50 8x = 98 + -50 Combine like terms: 98 + -50 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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