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Simplifying 7(2x + 4) + -1(5x + -8) = 5(3x + 2) + -6x + 8 Reorder the terms: 7(4 + 2x) + -1(5x + -8) = 5(3x + 2) + -6x + 8 (4 * 7 + 2x * 7) + -1(5x + -8) = 5(3x + 2) + -6x + 8 (28 + 14x) + -1(5x + -8) = 5(3x + 2) + -6x + 8 Reorder the terms: 28 + 14x + -1(-8 + 5x) = 5(3x + 2) + -6x + 8 28 + 14x + (-8 * -1 + 5x * -1) = 5(3x + 2) + -6x + 8 28 + 14x + (8 + -5x) = 5(3x + 2) + -6x + 8 Reorder the terms: 28 + 8 + 14x + -5x = 5(3x + 2) + -6x + 8 Combine like terms: 28 + 8 = 36 36 + 14x + -5x = 5(3x + 2) + -6x + 8 Combine like terms: 14x + -5x = 9x 36 + 9x = 5(3x + 2) + -6x + 8 Reorder the terms: 36 + 9x = 5(2 + 3x) + -6x + 8 36 + 9x = (2 * 5 + 3x * 5) + -6x + 8 36 + 9x = (10 + 15x) + -6x + 8 Reorder the terms: 36 + 9x = 10 + 8 + 15x + -6x Combine like terms: 10 + 8 = 18 36 + 9x = 18 + 15x + -6x Combine like terms: 15x + -6x = 9x 36 + 9x = 18 + 9x Add '-9x' to each side of the equation. 36 + 9x + -9x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + 0 = 18 + 9x + -9x 36 = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 36 = 18 + 0 36 = 18 Solving 36 = 18 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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