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Simplifying 7(2x + 3) + -2(x + -9) = 5(2x + 5) + x + -3 Reorder the terms: 7(3 + 2x) + -2(x + -9) = 5(2x + 5) + x + -3 (3 * 7 + 2x * 7) + -2(x + -9) = 5(2x + 5) + x + -3 (21 + 14x) + -2(x + -9) = 5(2x + 5) + x + -3 Reorder the terms: 21 + 14x + -2(-9 + x) = 5(2x + 5) + x + -3 21 + 14x + (-9 * -2 + x * -2) = 5(2x + 5) + x + -3 21 + 14x + (18 + -2x) = 5(2x + 5) + x + -3 Reorder the terms: 21 + 18 + 14x + -2x = 5(2x + 5) + x + -3 Combine like terms: 21 + 18 = 39 39 + 14x + -2x = 5(2x + 5) + x + -3 Combine like terms: 14x + -2x = 12x 39 + 12x = 5(2x + 5) + x + -3 Reorder the terms: 39 + 12x = 5(5 + 2x) + x + -3 39 + 12x = (5 * 5 + 2x * 5) + x + -3 39 + 12x = (25 + 10x) + x + -3 Reorder the terms: 39 + 12x = 25 + -3 + 10x + x Combine like terms: 25 + -3 = 22 39 + 12x = 22 + 10x + x Combine like terms: 10x + x = 11x 39 + 12x = 22 + 11x Solving 39 + 12x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 39 + 12x + -11x = 22 + 11x + -11x Combine like terms: 12x + -11x = 1x 39 + 1x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 39 + 1x = 22 + 0 39 + 1x = 22 Add '-39' to each side of the equation. 39 + -39 + 1x = 22 + -39 Combine like terms: 39 + -39 = 0 0 + 1x = 22 + -39 1x = 22 + -39 Combine like terms: 22 + -39 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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