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Simplifying 7(x + -9) + x = 8(x + -9) + 9 Reorder the terms: 7(-9 + x) + x = 8(x + -9) + 9 (-9 * 7 + x * 7) + x = 8(x + -9) + 9 (-63 + 7x) + x = 8(x + -9) + 9 Combine like terms: 7x + x = 8x -63 + 8x = 8(x + -9) + 9 Reorder the terms: -63 + 8x = 8(-9 + x) + 9 -63 + 8x = (-9 * 8 + x * 8) + 9 -63 + 8x = (-72 + 8x) + 9 Reorder the terms: -63 + 8x = -72 + 9 + 8x Combine like terms: -72 + 9 = -63 -63 + 8x = -63 + 8x Add '63' to each side of the equation. -63 + 63 + 8x = -63 + 63 + 8x Combine like terms: -63 + 63 = 0 0 + 8x = -63 + 63 + 8x 8x = -63 + 63 + 8x Combine like terms: -63 + 63 = 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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