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Simplifying 8(x + -6) = 3(2x + -1) + 2x + -45 Reorder the terms: 8(-6 + x) = 3(2x + -1) + 2x + -45 (-6 * 8 + x * 8) = 3(2x + -1) + 2x + -45 (-48 + 8x) = 3(2x + -1) + 2x + -45 Reorder the terms: -48 + 8x = 3(-1 + 2x) + 2x + -45 -48 + 8x = (-1 * 3 + 2x * 3) + 2x + -45 -48 + 8x = (-3 + 6x) + 2x + -45 Reorder the terms: -48 + 8x = -3 + -45 + 6x + 2x Combine like terms: -3 + -45 = -48 -48 + 8x = -48 + 6x + 2x Combine like terms: 6x + 2x = 8x -48 + 8x = -48 + 8x Add '48' to each side of the equation. -48 + 48 + 8x = -48 + 48 + 8x Combine like terms: -48 + 48 = 0 0 + 8x = -48 + 48 + 8x 8x = -48 + 48 + 8x Combine like terms: -48 + 48 = 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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