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Simplifying 3(4x + -2) = 4(3x + -1) + x Reorder the terms: 3(-2 + 4x) = 4(3x + -1) + x (-2 * 3 + 4x * 3) = 4(3x + -1) + x (-6 + 12x) = 4(3x + -1) + x Reorder the terms: -6 + 12x = 4(-1 + 3x) + x -6 + 12x = (-1 * 4 + 3x * 4) + x -6 + 12x = (-4 + 12x) + x Combine like terms: 12x + x = 13x -6 + 12x = -4 + 13x Solving -6 + 12x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 12x + -13x = -4 + 13x + -13x Combine like terms: 12x + -13x = -1x -6 + -1x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -1x = -4 + 0 -6 + -1x = -4 Add '6' to each side of the equation. -6 + 6 + -1x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -4 + 6 -1x = -4 + 6 Combine like terms: -4 + 6 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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