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Simplifying 4(3x + -4) + 2 = -2(6x + 1) Reorder the terms: 4(-4 + 3x) + 2 = -2(6x + 1) (-4 * 4 + 3x * 4) + 2 = -2(6x + 1) (-16 + 12x) + 2 = -2(6x + 1) Reorder the terms: -16 + 2 + 12x = -2(6x + 1) Combine like terms: -16 + 2 = -14 -14 + 12x = -2(6x + 1) Reorder the terms: -14 + 12x = -2(1 + 6x) -14 + 12x = (1 * -2 + 6x * -2) -14 + 12x = (-2 + -12x) Solving -14 + 12x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -14 + 12x + 12x = -2 + -12x + 12x Combine like terms: 12x + 12x = 24x -14 + 24x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 24x = -2 + 0 -14 + 24x = -2 Add '14' to each side of the equation. -14 + 14 + 24x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 24x = -2 + 14 24x = -2 + 14 Combine like terms: -2 + 14 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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