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Simplifying 3(x + 5) + -6x + 2 = 7x + 9(x + -1) Reorder the terms: 3(5 + x) + -6x + 2 = 7x + 9(x + -1) (5 * 3 + x * 3) + -6x + 2 = 7x + 9(x + -1) (15 + 3x) + -6x + 2 = 7x + 9(x + -1) Reorder the terms: 15 + 2 + 3x + -6x = 7x + 9(x + -1) Combine like terms: 15 + 2 = 17 17 + 3x + -6x = 7x + 9(x + -1) Combine like terms: 3x + -6x = -3x 17 + -3x = 7x + 9(x + -1) Reorder the terms: 17 + -3x = 7x + 9(-1 + x) 17 + -3x = 7x + (-1 * 9 + x * 9) 17 + -3x = 7x + (-9 + 9x) Reorder the terms: 17 + -3x = -9 + 7x + 9x Combine like terms: 7x + 9x = 16x 17 + -3x = -9 + 16x Solving 17 + -3x = -9 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 17 + -3x + -16x = -9 + 16x + -16x Combine like terms: -3x + -16x = -19x 17 + -19x = -9 + 16x + -16x Combine like terms: 16x + -16x = 0 17 + -19x = -9 + 0 17 + -19x = -9 Add '-17' to each side of the equation. 17 + -17 + -19x = -9 + -17 Combine like terms: 17 + -17 = 0 0 + -19x = -9 + -17 -19x = -9 + -17 Combine like terms: -9 + -17 = -26 -19x = -26 Divide each side by '-19'. x = 1.368421053 Simplifying x = 1.368421053
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