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Simplifying -2(x + -3) + 5x + 7 = 3(4 + -3x) + 12x + -8 Reorder the terms: -2(-3 + x) + 5x + 7 = 3(4 + -3x) + 12x + -8 (-3 * -2 + x * -2) + 5x + 7 = 3(4 + -3x) + 12x + -8 (6 + -2x) + 5x + 7 = 3(4 + -3x) + 12x + -8 Reorder the terms: 6 + 7 + -2x + 5x = 3(4 + -3x) + 12x + -8 Combine like terms: 6 + 7 = 13 13 + -2x + 5x = 3(4 + -3x) + 12x + -8 Combine like terms: -2x + 5x = 3x 13 + 3x = 3(4 + -3x) + 12x + -8 13 + 3x = (4 * 3 + -3x * 3) + 12x + -8 13 + 3x = (12 + -9x) + 12x + -8 Reorder the terms: 13 + 3x = 12 + -8 + -9x + 12x Combine like terms: 12 + -8 = 4 13 + 3x = 4 + -9x + 12x Combine like terms: -9x + 12x = 3x 13 + 3x = 4 + 3x Add '-3x' to each side of the equation. 13 + 3x + -3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 0 = 4 + 3x + -3x 13 = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 13 = 4 + 0 13 = 4 Solving 13 = 4 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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