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Simplifying 3(4x + -5) + -8x + 20 = 5(2x + 3) + -6x + -10 Reorder the terms: 3(-5 + 4x) + -8x + 20 = 5(2x + 3) + -6x + -10 (-5 * 3 + 4x * 3) + -8x + 20 = 5(2x + 3) + -6x + -10 (-15 + 12x) + -8x + 20 = 5(2x + 3) + -6x + -10 Reorder the terms: -15 + 20 + 12x + -8x = 5(2x + 3) + -6x + -10 Combine like terms: -15 + 20 = 5 5 + 12x + -8x = 5(2x + 3) + -6x + -10 Combine like terms: 12x + -8x = 4x 5 + 4x = 5(2x + 3) + -6x + -10 Reorder the terms: 5 + 4x = 5(3 + 2x) + -6x + -10 5 + 4x = (3 * 5 + 2x * 5) + -6x + -10 5 + 4x = (15 + 10x) + -6x + -10 Reorder the terms: 5 + 4x = 15 + -10 + 10x + -6x Combine like terms: 15 + -10 = 5 5 + 4x = 5 + 10x + -6x Combine like terms: 10x + -6x = 4x 5 + 4x = 5 + 4x Add '-5' to each side of the equation. 5 + -5 + 4x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 0 + 4x = 5 + -5 + 4x 4x = 5 + -5 + 4x Combine like terms: 5 + -5 = 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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