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Simplifying 6(3x + -12) = 9(2x + -8) Reorder the terms: 6(-12 + 3x) = 9(2x + -8) (-12 * 6 + 3x * 6) = 9(2x + -8) (-72 + 18x) = 9(2x + -8) Reorder the terms: -72 + 18x = 9(-8 + 2x) -72 + 18x = (-8 * 9 + 2x * 9) -72 + 18x = (-72 + 18x) Add '72' to each side of the equation. -72 + 72 + 18x = -72 + 72 + 18x Combine like terms: -72 + 72 = 0 0 + 18x = -72 + 72 + 18x 18x = -72 + 72 + 18x Combine like terms: -72 + 72 = 0 18x = 0 + 18x 18x = 18x Add '-18x' to each side of the equation. 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 0 = 18x + -18x Combine like terms: 18x + -18x = 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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