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