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Simplifying 5(x + -2) + 22 = 2(4x + 7) + 1 + -3x Reorder the terms: 5(-2 + x) + 22 = 2(4x + 7) + 1 + -3x (-2 * 5 + x * 5) + 22 = 2(4x + 7) + 1 + -3x (-10 + 5x) + 22 = 2(4x + 7) + 1 + -3x Reorder the terms: -10 + 22 + 5x = 2(4x + 7) + 1 + -3x Combine like terms: -10 + 22 = 12 12 + 5x = 2(4x + 7) + 1 + -3x Reorder the terms: 12 + 5x = 2(7 + 4x) + 1 + -3x 12 + 5x = (7 * 2 + 4x * 2) + 1 + -3x 12 + 5x = (14 + 8x) + 1 + -3x Reorder the terms: 12 + 5x = 14 + 1 + 8x + -3x Combine like terms: 14 + 1 = 15 12 + 5x = 15 + 8x + -3x Combine like terms: 8x + -3x = 5x 12 + 5x = 15 + 5x Add '-5x' to each side of the equation. 12 + 5x + -5x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 0 = 15 + 5x + -5x 12 = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 12 = 15 + 0 12 = 15 Solving 12 = 15 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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