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Simplifying 7(x + 2) = 10(x + 5) Reorder the terms: 7(2 + x) = 10(x + 5) (2 * 7 + x * 7) = 10(x + 5) (14 + 7x) = 10(x + 5) Reorder the terms: 14 + 7x = 10(5 + x) 14 + 7x = (5 * 10 + x * 10) 14 + 7x = (50 + 10x) Solving 14 + 7x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + 7x + -10x = 50 + 10x + -10x Combine like terms: 7x + -10x = -3x 14 + -3x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -3x = 50 + 0 14 + -3x = 50 Add '-14' to each side of the equation. 14 + -14 + -3x = 50 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 50 + -14 -3x = 50 + -14 Combine like terms: 50 + -14 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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