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