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Simplifying 7(x + 5) + -5(2x + -6) = 14 Reorder the terms: 7(5 + x) + -5(2x + -6) = 14 (5 * 7 + x * 7) + -5(2x + -6) = 14 (35 + 7x) + -5(2x + -6) = 14 Reorder the terms: 35 + 7x + -5(-6 + 2x) = 14 35 + 7x + (-6 * -5 + 2x * -5) = 14 35 + 7x + (30 + -10x) = 14 Reorder the terms: 35 + 30 + 7x + -10x = 14 Combine like terms: 35 + 30 = 65 65 + 7x + -10x = 14 Combine like terms: 7x + -10x = -3x 65 + -3x = 14 Solving 65 + -3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -3x = 14 + -65 Combine like terms: 65 + -65 = 0 0 + -3x = 14 + -65 -3x = 14 + -65 Combine like terms: 14 + -65 = -51 -3x = -51 Divide each side by '-3'. x = 17 Simplifying x = 17
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