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Simplifying 5(x + 7) + -7(2x + -6) = 15 Reorder the terms: 5(7 + x) + -7(2x + -6) = 15 (7 * 5 + x * 5) + -7(2x + -6) = 15 (35 + 5x) + -7(2x + -6) = 15 Reorder the terms: 35 + 5x + -7(-6 + 2x) = 15 35 + 5x + (-6 * -7 + 2x * -7) = 15 35 + 5x + (42 + -14x) = 15 Reorder the terms: 35 + 42 + 5x + -14x = 15 Combine like terms: 35 + 42 = 77 77 + 5x + -14x = 15 Combine like terms: 5x + -14x = -9x 77 + -9x = 15 Solving 77 + -9x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -9x = 15 + -77 Combine like terms: 77 + -77 = 0 0 + -9x = 15 + -77 -9x = 15 + -77 Combine like terms: 15 + -77 = -62 -9x = -62 Divide each side by '-9'. x = 6.888888889 Simplifying x = 6.888888889
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