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Simplifying -1(2x + -3) + -1(5x + -9) + 7 = -9(x + -3) + -1(8x + 3) + 6 Reorder the terms: -1(-3 + 2x) + -1(5x + -9) + 7 = -9(x + -3) + -1(8x + 3) + 6 (-3 * -1 + 2x * -1) + -1(5x + -9) + 7 = -9(x + -3) + -1(8x + 3) + 6 (3 + -2x) + -1(5x + -9) + 7 = -9(x + -3) + -1(8x + 3) + 6 Reorder the terms: 3 + -2x + -1(-9 + 5x) + 7 = -9(x + -3) + -1(8x + 3) + 6 3 + -2x + (-9 * -1 + 5x * -1) + 7 = -9(x + -3) + -1(8x + 3) + 6 3 + -2x + (9 + -5x) + 7 = -9(x + -3) + -1(8x + 3) + 6 Reorder the terms: 3 + 9 + 7 + -2x + -5x = -9(x + -3) + -1(8x + 3) + 6 Combine like terms: 3 + 9 = 12 12 + 7 + -2x + -5x = -9(x + -3) + -1(8x + 3) + 6 Combine like terms: 12 + 7 = 19 19 + -2x + -5x = -9(x + -3) + -1(8x + 3) + 6 Combine like terms: -2x + -5x = -7x 19 + -7x = -9(x + -3) + -1(8x + 3) + 6 Reorder the terms: 19 + -7x = -9(-3 + x) + -1(8x + 3) + 6 19 + -7x = (-3 * -9 + x * -9) + -1(8x + 3) + 6 19 + -7x = (27 + -9x) + -1(8x + 3) + 6 Reorder the terms: 19 + -7x = 27 + -9x + -1(3 + 8x) + 6 19 + -7x = 27 + -9x + (3 * -1 + 8x * -1) + 6 19 + -7x = 27 + -9x + (-3 + -8x) + 6 Reorder the terms: 19 + -7x = 27 + -3 + 6 + -9x + -8x Combine like terms: 27 + -3 = 24 19 + -7x = 24 + 6 + -9x + -8x Combine like terms: 24 + 6 = 30 19 + -7x = 30 + -9x + -8x Combine like terms: -9x + -8x = -17x 19 + -7x = 30 + -17x Solving 19 + -7x = 30 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 19 + -7x + 17x = 30 + -17x + 17x Combine like terms: -7x + 17x = 10x 19 + 10x = 30 + -17x + 17x Combine like terms: -17x + 17x = 0 19 + 10x = 30 + 0 19 + 10x = 30 Add '-19' to each side of the equation. 19 + -19 + 10x = 30 + -19 Combine like terms: 19 + -19 = 0 0 + 10x = 30 + -19 10x = 30 + -19 Combine like terms: 30 + -19 = 11 10x = 11 Divide each side by '10'. x = 1.1 Simplifying x = 1.1
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