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Simplifying 9x + 3[x + -2(x + -3) + -5] = 4(2x + -5) + 13 + -2x Reorder the terms: 9x + 3[x + -2(-3 + x) + -5] = 4(2x + -5) + 13 + -2x 9x + 3[x + (-3 * -2 + x * -2) + -5] = 4(2x + -5) + 13 + -2x 9x + 3[x + (6 + -2x) + -5] = 4(2x + -5) + 13 + -2x Reorder the terms: 9x + 3[6 + -5 + x + -2x] = 4(2x + -5) + 13 + -2x Combine like terms: 6 + -5 = 1 9x + 3[1 + x + -2x] = 4(2x + -5) + 13 + -2x Combine like terms: x + -2x = -1x 9x + 3[1 + -1x] = 4(2x + -5) + 13 + -2x 9x + [1 * 3 + -1x * 3] = 4(2x + -5) + 13 + -2x 9x + [3 + -3x] = 4(2x + -5) + 13 + -2x Reorder the terms: 3 + 9x + -3x = 4(2x + -5) + 13 + -2x Combine like terms: 9x + -3x = 6x 3 + 6x = 4(2x + -5) + 13 + -2x Reorder the terms: 3 + 6x = 4(-5 + 2x) + 13 + -2x 3 + 6x = (-5 * 4 + 2x * 4) + 13 + -2x 3 + 6x = (-20 + 8x) + 13 + -2x Reorder the terms: 3 + 6x = -20 + 13 + 8x + -2x Combine like terms: -20 + 13 = -7 3 + 6x = -7 + 8x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = -7 + 6x Add '-6x' to each side of the equation. 3 + 6x + -6x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 0 = -7 + 6x + -6x 3 = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 3 = -7 + 0 3 = -7 Solving 3 = -7 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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