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Simplifying 6(x + 7) + 64 = 8x + -2(x + 3) Reorder the terms: 6(7 + x) + 64 = 8x + -2(x + 3) (7 * 6 + x * 6) + 64 = 8x + -2(x + 3) (42 + 6x) + 64 = 8x + -2(x + 3) Reorder the terms: 42 + 64 + 6x = 8x + -2(x + 3) Combine like terms: 42 + 64 = 106 106 + 6x = 8x + -2(x + 3) Reorder the terms: 106 + 6x = 8x + -2(3 + x) 106 + 6x = 8x + (3 * -2 + x * -2) 106 + 6x = 8x + (-6 + -2x) Reorder the terms: 106 + 6x = -6 + 8x + -2x Combine like terms: 8x + -2x = 6x 106 + 6x = -6 + 6x Add '-6x' to each side of the equation. 106 + 6x + -6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 106 + 0 = -6 + 6x + -6x 106 = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 106 = -6 + 0 106 = -6 Solving 106 = -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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