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