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Simplifying 4(2x + -1) + x = 5(2x + -1) + -1x + 1 Reorder the terms: 4(-1 + 2x) + x = 5(2x + -1) + -1x + 1 (-1 * 4 + 2x * 4) + x = 5(2x + -1) + -1x + 1 (-4 + 8x) + x = 5(2x + -1) + -1x + 1 Combine like terms: 8x + x = 9x -4 + 9x = 5(2x + -1) + -1x + 1 Reorder the terms: -4 + 9x = 5(-1 + 2x) + -1x + 1 -4 + 9x = (-1 * 5 + 2x * 5) + -1x + 1 -4 + 9x = (-5 + 10x) + -1x + 1 Reorder the terms: -4 + 9x = -5 + 1 + 10x + -1x Combine like terms: -5 + 1 = -4 -4 + 9x = -4 + 10x + -1x Combine like terms: 10x + -1x = 9x -4 + 9x = -4 + 9x Add '4' to each side of the equation. -4 + 4 + 9x = -4 + 4 + 9x Combine like terms: -4 + 4 = 0 0 + 9x = -4 + 4 + 9x 9x = -4 + 4 + 9x Combine like terms: -4 + 4 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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