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Simplifying 6(3 + -4x) = -12(2x + -1.5) (3 * 6 + -4x * 6) = -12(2x + -1.5) (18 + -24x) = -12(2x + -1.5) Reorder the terms: 18 + -24x = -12(-1.5 + 2x) 18 + -24x = (-1.5 * -12 + 2x * -12) 18 + -24x = (18 + -24x) Add '-18' to each side of the equation. 18 + -18 + -24x = 18 + -18 + -24x Combine like terms: 18 + -18 = 0 0 + -24x = 18 + -18 + -24x -24x = 18 + -18 + -24x Combine like terms: 18 + -18 = 0 -24x = 0 + -24x -24x = -24x Add '24x' to each side of the equation. -24x + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 0 = -24x + 24x Combine like terms: -24x + 24x = 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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