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Simplifying 6(x + 8) = 8x + 6 + -2x + 42 Reorder the terms: 6(8 + x) = 8x + 6 + -2x + 42 (8 * 6 + x * 6) = 8x + 6 + -2x + 42 (48 + 6x) = 8x + 6 + -2x + 42 Reorder the terms: 48 + 6x = 6 + 42 + 8x + -2x Combine like terms: 6 + 42 = 48 48 + 6x = 48 + 8x + -2x Combine like terms: 8x + -2x = 6x 48 + 6x = 48 + 6x Add '-48' to each side of the equation. 48 + -48 + 6x = 48 + -48 + 6x Combine like terms: 48 + -48 = 0 0 + 6x = 48 + -48 + 6x 6x = 48 + -48 + 6x Combine like terms: 48 + -48 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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