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Simplifying 8(x + 7) + 10 = 10x + -2(x + -3) Reorder the terms: 8(7 + x) + 10 = 10x + -2(x + -3) (7 * 8 + x * 8) + 10 = 10x + -2(x + -3) (56 + 8x) + 10 = 10x + -2(x + -3) Reorder the terms: 56 + 10 + 8x = 10x + -2(x + -3) Combine like terms: 56 + 10 = 66 66 + 8x = 10x + -2(x + -3) Reorder the terms: 66 + 8x = 10x + -2(-3 + x) 66 + 8x = 10x + (-3 * -2 + x * -2) 66 + 8x = 10x + (6 + -2x) Reorder the terms: 66 + 8x = 6 + 10x + -2x Combine like terms: 10x + -2x = 8x 66 + 8x = 6 + 8x Add '-8x' to each side of the equation. 66 + 8x + -8x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 66 + 0 = 6 + 8x + -8x 66 = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 66 = 6 + 0 66 = 6 Solving 66 = 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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