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Simplifying 3(2x + 3) + -1(-1x + -2) = 4(2x + 5) + -1(x + -9) Reorder the terms: 3(3 + 2x) + -1(-1x + -2) = 4(2x + 5) + -1(x + -9) (3 * 3 + 2x * 3) + -1(-1x + -2) = 4(2x + 5) + -1(x + -9) (9 + 6x) + -1(-1x + -2) = 4(2x + 5) + -1(x + -9) Reorder the terms: 9 + 6x + -1(-2 + -1x) = 4(2x + 5) + -1(x + -9) 9 + 6x + (-2 * -1 + -1x * -1) = 4(2x + 5) + -1(x + -9) 9 + 6x + (2 + 1x) = 4(2x + 5) + -1(x + -9) Reorder the terms: 9 + 2 + 6x + 1x = 4(2x + 5) + -1(x + -9) Combine like terms: 9 + 2 = 11 11 + 6x + 1x = 4(2x + 5) + -1(x + -9) Combine like terms: 6x + 1x = 7x 11 + 7x = 4(2x + 5) + -1(x + -9) Reorder the terms: 11 + 7x = 4(5 + 2x) + -1(x + -9) 11 + 7x = (5 * 4 + 2x * 4) + -1(x + -9) 11 + 7x = (20 + 8x) + -1(x + -9) Reorder the terms: 11 + 7x = 20 + 8x + -1(-9 + x) 11 + 7x = 20 + 8x + (-9 * -1 + x * -1) 11 + 7x = 20 + 8x + (9 + -1x) Reorder the terms: 11 + 7x = 20 + 9 + 8x + -1x Combine like terms: 20 + 9 = 29 11 + 7x = 29 + 8x + -1x Combine like terms: 8x + -1x = 7x 11 + 7x = 29 + 7x Add '-7x' to each side of the equation. 11 + 7x + -7x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + 0 = 29 + 7x + -7x 11 = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 11 = 29 + 0 11 = 29 Solving 11 = 29 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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