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Simplifying 12x + 3(4x + -6) = 1.5(16x + 12) + -4 Reorder the terms: 12x + 3(-6 + 4x) = 1.5(16x + 12) + -4 12x + (-6 * 3 + 4x * 3) = 1.5(16x + 12) + -4 12x + (-18 + 12x) = 1.5(16x + 12) + -4 Reorder the terms: -18 + 12x + 12x = 1.5(16x + 12) + -4 Combine like terms: 12x + 12x = 24x -18 + 24x = 1.5(16x + 12) + -4 Reorder the terms: -18 + 24x = 1.5(12 + 16x) + -4 -18 + 24x = (12 * 1.5 + 16x * 1.5) + -4 -18 + 24x = (18 + 24x) + -4 Reorder the terms: -18 + 24x = 18 + -4 + 24x Combine like terms: 18 + -4 = 14 -18 + 24x = 14 + 24x Add '-24x' to each side of the equation. -18 + 24x + -24x = 14 + 24x + -24x Combine like terms: 24x + -24x = 0 -18 + 0 = 14 + 24x + -24x -18 = 14 + 24x + -24x Combine like terms: 24x + -24x = 0 -18 = 14 + 0 -18 = 14 Solving -18 = 14 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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