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Simplifying 2x + (4x + -3)(-2) + -1 = 9x + -5(3x + -1) Reorder the terms: 2x + (-3 + 4x)(-2) + -1 = 9x + -5(3x + -1) Reorder the terms for easier multiplication: 2x + -2(-3 + 4x) + -1 = 9x + -5(3x + -1) 2x + (-3 * -2 + 4x * -2) + -1 = 9x + -5(3x + -1) 2x + (6 + -8x) + -1 = 9x + -5(3x + -1) Reorder the terms: 6 + -1 + 2x + -8x = 9x + -5(3x + -1) Combine like terms: 6 + -1 = 5 5 + 2x + -8x = 9x + -5(3x + -1) Combine like terms: 2x + -8x = -6x 5 + -6x = 9x + -5(3x + -1) Reorder the terms: 5 + -6x = 9x + -5(-1 + 3x) 5 + -6x = 9x + (-1 * -5 + 3x * -5) 5 + -6x = 9x + (5 + -15x) Reorder the terms: 5 + -6x = 5 + 9x + -15x Combine like terms: 9x + -15x = -6x 5 + -6x = 5 + -6x Add '-5' to each side of the equation. 5 + -5 + -6x = 5 + -5 + -6x Combine like terms: 5 + -5 = 0 0 + -6x = 5 + -5 + -6x -6x = 5 + -5 + -6x Combine like terms: 5 + -5 = 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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