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Simplifying 5(2x + -4) + 3x = -4x + 3(4x + -6) + 5x + -2 Reorder the terms: 5(-4 + 2x) + 3x = -4x + 3(4x + -6) + 5x + -2 (-4 * 5 + 2x * 5) + 3x = -4x + 3(4x + -6) + 5x + -2 (-20 + 10x) + 3x = -4x + 3(4x + -6) + 5x + -2 Combine like terms: 10x + 3x = 13x -20 + 13x = -4x + 3(4x + -6) + 5x + -2 Reorder the terms: -20 + 13x = -4x + 3(-6 + 4x) + 5x + -2 -20 + 13x = -4x + (-6 * 3 + 4x * 3) + 5x + -2 -20 + 13x = -4x + (-18 + 12x) + 5x + -2 Reorder the terms: -20 + 13x = -18 + -2 + -4x + 12x + 5x Combine like terms: -18 + -2 = -20 -20 + 13x = -20 + -4x + 12x + 5x Combine like terms: -4x + 12x = 8x -20 + 13x = -20 + 8x + 5x Combine like terms: 8x + 5x = 13x -20 + 13x = -20 + 13x Add '20' to each side of the equation. -20 + 20 + 13x = -20 + 20 + 13x Combine like terms: -20 + 20 = 0 0 + 13x = -20 + 20 + 13x 13x = -20 + 20 + 13x Combine like terms: -20 + 20 = 0 13x = 0 + 13x 13x = 13x Add '-13x' to each side of the equation. 13x + -13x = 13x + -13x Combine like terms: 13x + -13x = 0 0 = 13x + -13x Combine like terms: 13x + -13x = 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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