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