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Simplifying -4(2x + -7) + 3(5x + 9) = 9x + -11 + -2x + -17 Reorder the terms: -4(-7 + 2x) + 3(5x + 9) = 9x + -11 + -2x + -17 (-7 * -4 + 2x * -4) + 3(5x + 9) = 9x + -11 + -2x + -17 (28 + -8x) + 3(5x + 9) = 9x + -11 + -2x + -17 Reorder the terms: 28 + -8x + 3(9 + 5x) = 9x + -11 + -2x + -17 28 + -8x + (9 * 3 + 5x * 3) = 9x + -11 + -2x + -17 28 + -8x + (27 + 15x) = 9x + -11 + -2x + -17 Reorder the terms: 28 + 27 + -8x + 15x = 9x + -11 + -2x + -17 Combine like terms: 28 + 27 = 55 55 + -8x + 15x = 9x + -11 + -2x + -17 Combine like terms: -8x + 15x = 7x 55 + 7x = 9x + -11 + -2x + -17 Reorder the terms: 55 + 7x = -11 + -17 + 9x + -2x Combine like terms: -11 + -17 = -28 55 + 7x = -28 + 9x + -2x Combine like terms: 9x + -2x = 7x 55 + 7x = -28 + 7x Add '-7x' to each side of the equation. 55 + 7x + -7x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 55 + 0 = -28 + 7x + -7x 55 = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 55 = -28 + 0 55 = -28 Solving 55 = -28 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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