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Simplifying 2(3x + -4) = 12(2x + 1) Reorder the terms: 2(-4 + 3x) = 12(2x + 1) (-4 * 2 + 3x * 2) = 12(2x + 1) (-8 + 6x) = 12(2x + 1) Reorder the terms: -8 + 6x = 12(1 + 2x) -8 + 6x = (1 * 12 + 2x * 12) -8 + 6x = (12 + 24x) Solving -8 + 6x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -8 + 6x + -24x = 12 + 24x + -24x Combine like terms: 6x + -24x = -18x -8 + -18x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -8 + -18x = 12 + 0 -8 + -18x = 12 Add '8' to each side of the equation. -8 + 8 + -18x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = 12 + 8 -18x = 12 + 8 Combine like terms: 12 + 8 = 20 -18x = 20 Divide each side by '-18'. x = -1.111111111 Simplifying x = -1.111111111
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