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Simplifying 7(x + 2) + -1(9x + 3) = -5 Reorder the terms: 7(2 + x) + -1(9x + 3) = -5 (2 * 7 + x * 7) + -1(9x + 3) = -5 (14 + 7x) + -1(9x + 3) = -5 Reorder the terms: 14 + 7x + -1(3 + 9x) = -5 14 + 7x + (3 * -1 + 9x * -1) = -5 14 + 7x + (-3 + -9x) = -5 Reorder the terms: 14 + -3 + 7x + -9x = -5 Combine like terms: 14 + -3 = 11 11 + 7x + -9x = -5 Combine like terms: 7x + -9x = -2x 11 + -2x = -5 Solving 11 + -2x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = -5 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -5 + -11 -2x = -5 + -11 Combine like terms: -5 + -11 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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