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Simplifying 3(2x + -1) + -1x + 8 = 5(x + 1) Reorder the terms: 3(-1 + 2x) + -1x + 8 = 5(x + 1) (-1 * 3 + 2x * 3) + -1x + 8 = 5(x + 1) (-3 + 6x) + -1x + 8 = 5(x + 1) Reorder the terms: -3 + 8 + 6x + -1x = 5(x + 1) Combine like terms: -3 + 8 = 5 5 + 6x + -1x = 5(x + 1) Combine like terms: 6x + -1x = 5x 5 + 5x = 5(x + 1) Reorder the terms: 5 + 5x = 5(1 + x) 5 + 5x = (1 * 5 + x * 5) 5 + 5x = (5 + 5x) Add '-5' to each side of the equation. 5 + -5 + 5x = 5 + -5 + 5x Combine like terms: 5 + -5 = 0 0 + 5x = 5 + -5 + 5x 5x = 5 + -5 + 5x Combine like terms: 5 + -5 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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