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Simplifying 3(4x + -5) = 6(2x + -3) + 3 Reorder the terms: 3(-5 + 4x) = 6(2x + -3) + 3 (-5 * 3 + 4x * 3) = 6(2x + -3) + 3 (-15 + 12x) = 6(2x + -3) + 3 Reorder the terms: -15 + 12x = 6(-3 + 2x) + 3 -15 + 12x = (-3 * 6 + 2x * 6) + 3 -15 + 12x = (-18 + 12x) + 3 Reorder the terms: -15 + 12x = -18 + 3 + 12x Combine like terms: -18 + 3 = -15 -15 + 12x = -15 + 12x Add '15' to each side of the equation. -15 + 15 + 12x = -15 + 15 + 12x Combine like terms: -15 + 15 = 0 0 + 12x = -15 + 15 + 12x 12x = -15 + 15 + 12x Combine like terms: -15 + 15 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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