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Simplifying 4(3x + -5) + -8x + 1 = 6(x + -3) + -2x + -1 Reorder the terms: 4(-5 + 3x) + -8x + 1 = 6(x + -3) + -2x + -1 (-5 * 4 + 3x * 4) + -8x + 1 = 6(x + -3) + -2x + -1 (-20 + 12x) + -8x + 1 = 6(x + -3) + -2x + -1 Reorder the terms: -20 + 1 + 12x + -8x = 6(x + -3) + -2x + -1 Combine like terms: -20 + 1 = -19 -19 + 12x + -8x = 6(x + -3) + -2x + -1 Combine like terms: 12x + -8x = 4x -19 + 4x = 6(x + -3) + -2x + -1 Reorder the terms: -19 + 4x = 6(-3 + x) + -2x + -1 -19 + 4x = (-3 * 6 + x * 6) + -2x + -1 -19 + 4x = (-18 + 6x) + -2x + -1 Reorder the terms: -19 + 4x = -18 + -1 + 6x + -2x Combine like terms: -18 + -1 = -19 -19 + 4x = -19 + 6x + -2x Combine like terms: 6x + -2x = 4x -19 + 4x = -19 + 4x Add '19' to each side of the equation. -19 + 19 + 4x = -19 + 19 + 4x Combine like terms: -19 + 19 = 0 0 + 4x = -19 + 19 + 4x 4x = -19 + 19 + 4x Combine like terms: -19 + 19 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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