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Simplifying 7(x + 9) + -5x = 2(x + -7) + 8 Reorder the terms: 7(9 + x) + -5x = 2(x + -7) + 8 (9 * 7 + x * 7) + -5x = 2(x + -7) + 8 (63 + 7x) + -5x = 2(x + -7) + 8 Combine like terms: 7x + -5x = 2x 63 + 2x = 2(x + -7) + 8 Reorder the terms: 63 + 2x = 2(-7 + x) + 8 63 + 2x = (-7 * 2 + x * 2) + 8 63 + 2x = (-14 + 2x) + 8 Reorder the terms: 63 + 2x = -14 + 8 + 2x Combine like terms: -14 + 8 = -6 63 + 2x = -6 + 2x Add '-2x' to each side of the equation. 63 + 2x + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + 0 = -6 + 2x + -2x 63 = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 63 = -6 + 0 63 = -6 Solving 63 = -6 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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