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Simplifying -3(5x + -7) + 4(6x + -2) = 9(x + 5) + -3 Reorder the terms: -3(-7 + 5x) + 4(6x + -2) = 9(x + 5) + -3 (-7 * -3 + 5x * -3) + 4(6x + -2) = 9(x + 5) + -3 (21 + -15x) + 4(6x + -2) = 9(x + 5) + -3 Reorder the terms: 21 + -15x + 4(-2 + 6x) = 9(x + 5) + -3 21 + -15x + (-2 * 4 + 6x * 4) = 9(x + 5) + -3 21 + -15x + (-8 + 24x) = 9(x + 5) + -3 Reorder the terms: 21 + -8 + -15x + 24x = 9(x + 5) + -3 Combine like terms: 21 + -8 = 13 13 + -15x + 24x = 9(x + 5) + -3 Combine like terms: -15x + 24x = 9x 13 + 9x = 9(x + 5) + -3 Reorder the terms: 13 + 9x = 9(5 + x) + -3 13 + 9x = (5 * 9 + x * 9) + -3 13 + 9x = (45 + 9x) + -3 Reorder the terms: 13 + 9x = 45 + -3 + 9x Combine like terms: 45 + -3 = 42 13 + 9x = 42 + 9x Add '-9x' to each side of the equation. 13 + 9x + -9x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + 0 = 42 + 9x + -9x 13 = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 13 = 42 + 0 13 = 42 Solving 13 = 42 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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