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Simplifying 3(2x + -5) = 6(x + -4) + 9 Reorder the terms: 3(-5 + 2x) = 6(x + -4) + 9 (-5 * 3 + 2x * 3) = 6(x + -4) + 9 (-15 + 6x) = 6(x + -4) + 9 Reorder the terms: -15 + 6x = 6(-4 + x) + 9 -15 + 6x = (-4 * 6 + x * 6) + 9 -15 + 6x = (-24 + 6x) + 9 Reorder the terms: -15 + 6x = -24 + 9 + 6x Combine like terms: -24 + 9 = -15 -15 + 6x = -15 + 6x Add '15' to each side of the equation. -15 + 15 + 6x = -15 + 15 + 6x Combine like terms: -15 + 15 = 0 0 + 6x = -15 + 15 + 6x 6x = -15 + 15 + 6x Combine like terms: -15 + 15 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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