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Simplifying 7(x + -2) + x = 8(x + -3) + 10 Reorder the terms: 7(-2 + x) + x = 8(x + -3) + 10 (-2 * 7 + x * 7) + x = 8(x + -3) + 10 (-14 + 7x) + x = 8(x + -3) + 10 Combine like terms: 7x + x = 8x -14 + 8x = 8(x + -3) + 10 Reorder the terms: -14 + 8x = 8(-3 + x) + 10 -14 + 8x = (-3 * 8 + x * 8) + 10 -14 + 8x = (-24 + 8x) + 10 Reorder the terms: -14 + 8x = -24 + 10 + 8x Combine like terms: -24 + 10 = -14 -14 + 8x = -14 + 8x Add '14' to each side of the equation. -14 + 14 + 8x = -14 + 14 + 8x Combine like terms: -14 + 14 = 0 0 + 8x = -14 + 14 + 8x 8x = -14 + 14 + 8x Combine like terms: -14 + 14 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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