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Simplifying 7(x + -6) + x = 8(x + -6) + 6 Reorder the terms: 7(-6 + x) + x = 8(x + -6) + 6 (-6 * 7 + x * 7) + x = 8(x + -6) + 6 (-42 + 7x) + x = 8(x + -6) + 6 Combine like terms: 7x + x = 8x -42 + 8x = 8(x + -6) + 6 Reorder the terms: -42 + 8x = 8(-6 + x) + 6 -42 + 8x = (-6 * 8 + x * 8) + 6 -42 + 8x = (-48 + 8x) + 6 Reorder the terms: -42 + 8x = -48 + 6 + 8x Combine like terms: -48 + 6 = -42 -42 + 8x = -42 + 8x Add '42' to each side of the equation. -42 + 42 + 8x = -42 + 42 + 8x Combine like terms: -42 + 42 = 0 0 + 8x = -42 + 42 + 8x 8x = -42 + 42 + 8x Combine like terms: -42 + 42 = 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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