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Simplifying 3(2x + -1) = 12(4x + -2) + 2 Reorder the terms: 3(-1 + 2x) = 12(4x + -2) + 2 (-1 * 3 + 2x * 3) = 12(4x + -2) + 2 (-3 + 6x) = 12(4x + -2) + 2 Reorder the terms: -3 + 6x = 12(-2 + 4x) + 2 -3 + 6x = (-2 * 12 + 4x * 12) + 2 -3 + 6x = (-24 + 48x) + 2 Reorder the terms: -3 + 6x = -24 + 2 + 48x Combine like terms: -24 + 2 = -22 -3 + 6x = -22 + 48x Solving -3 + 6x = -22 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -3 + 6x + -48x = -22 + 48x + -48x Combine like terms: 6x + -48x = -42x -3 + -42x = -22 + 48x + -48x Combine like terms: 48x + -48x = 0 -3 + -42x = -22 + 0 -3 + -42x = -22 Add '3' to each side of the equation. -3 + 3 + -42x = -22 + 3 Combine like terms: -3 + 3 = 0 0 + -42x = -22 + 3 -42x = -22 + 3 Combine like terms: -22 + 3 = -19 -42x = -19 Divide each side by '-42'. x = 0.4523809524 Simplifying x = 0.4523809524
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