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Simplifying 7(x + 6) + -2(5x + -7) = 14 Reorder the terms: 7(6 + x) + -2(5x + -7) = 14 (6 * 7 + x * 7) + -2(5x + -7) = 14 (42 + 7x) + -2(5x + -7) = 14 Reorder the terms: 42 + 7x + -2(-7 + 5x) = 14 42 + 7x + (-7 * -2 + 5x * -2) = 14 42 + 7x + (14 + -10x) = 14 Reorder the terms: 42 + 14 + 7x + -10x = 14 Combine like terms: 42 + 14 = 56 56 + 7x + -10x = 14 Combine like terms: 7x + -10x = -3x 56 + -3x = 14 Solving 56 + -3x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -3x = 14 + -56 Combine like terms: 56 + -56 = 0 0 + -3x = 14 + -56 -3x = 14 + -56 Combine like terms: 14 + -56 = -42 -3x = -42 Divide each side by '-3'. x = 14 Simplifying x = 14
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