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Simplifying 7(6x + 8) + -3(9x + -5) = 5(3x + 8) + 29 Reorder the terms: 7(8 + 6x) + -3(9x + -5) = 5(3x + 8) + 29 (8 * 7 + 6x * 7) + -3(9x + -5) = 5(3x + 8) + 29 (56 + 42x) + -3(9x + -5) = 5(3x + 8) + 29 Reorder the terms: 56 + 42x + -3(-5 + 9x) = 5(3x + 8) + 29 56 + 42x + (-5 * -3 + 9x * -3) = 5(3x + 8) + 29 56 + 42x + (15 + -27x) = 5(3x + 8) + 29 Reorder the terms: 56 + 15 + 42x + -27x = 5(3x + 8) + 29 Combine like terms: 56 + 15 = 71 71 + 42x + -27x = 5(3x + 8) + 29 Combine like terms: 42x + -27x = 15x 71 + 15x = 5(3x + 8) + 29 Reorder the terms: 71 + 15x = 5(8 + 3x) + 29 71 + 15x = (8 * 5 + 3x * 5) + 29 71 + 15x = (40 + 15x) + 29 Reorder the terms: 71 + 15x = 40 + 29 + 15x Combine like terms: 40 + 29 = 69 71 + 15x = 69 + 15x Add '-15x' to each side of the equation. 71 + 15x + -15x = 69 + 15x + -15x Combine like terms: 15x + -15x = 0 71 + 0 = 69 + 15x + -15x 71 = 69 + 15x + -15x Combine like terms: 15x + -15x = 0 71 = 69 + 0 71 = 69 Solving 71 = 69 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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