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Simplifying 8x + 3(4x + -5) = 15 + -5(6 + -4x) Reorder the terms: 8x + 3(-5 + 4x) = 15 + -5(6 + -4x) 8x + (-5 * 3 + 4x * 3) = 15 + -5(6 + -4x) 8x + (-15 + 12x) = 15 + -5(6 + -4x) Reorder the terms: -15 + 8x + 12x = 15 + -5(6 + -4x) Combine like terms: 8x + 12x = 20x -15 + 20x = 15 + -5(6 + -4x) -15 + 20x = 15 + (6 * -5 + -4x * -5) -15 + 20x = 15 + (-30 + 20x) Combine like terms: 15 + -30 = -15 -15 + 20x = -15 + 20x Add '15' to each side of the equation. -15 + 15 + 20x = -15 + 15 + 20x Combine like terms: -15 + 15 = 0 0 + 20x = -15 + 15 + 20x 20x = -15 + 15 + 20x Combine like terms: -15 + 15 = 0 20x = 0 + 20x 20x = 20x Add '-20x' to each side of the equation. 20x + -20x = 20x + -20x Combine like terms: 20x + -20x = 0 0 = 20x + -20x Combine like terms: 20x + -20x = 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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