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Simplifying 3(4x + -1) = 2 + -4(3 + -1x) Reorder the terms: 3(-1 + 4x) = 2 + -4(3 + -1x) (-1 * 3 + 4x * 3) = 2 + -4(3 + -1x) (-3 + 12x) = 2 + -4(3 + -1x) -3 + 12x = 2 + (3 * -4 + -1x * -4) -3 + 12x = 2 + (-12 + 4x) Combine like terms: 2 + -12 = -10 -3 + 12x = -10 + 4x Solving -3 + 12x = -10 + 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. -3 + 12x + -4x = -10 + 4x + -4x Combine like terms: 12x + -4x = 8x -3 + 8x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 8x = -10 + 0 -3 + 8x = -10 Add '3' to each side of the equation. -3 + 3 + 8x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = -10 + 3 8x = -10 + 3 Combine like terms: -10 + 3 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875
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