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Simplifying 3(4x + -1) = 4(2x + -3) + 8 Reorder the terms: 3(-1 + 4x) = 4(2x + -3) + 8 (-1 * 3 + 4x * 3) = 4(2x + -3) + 8 (-3 + 12x) = 4(2x + -3) + 8 Reorder the terms: -3 + 12x = 4(-3 + 2x) + 8 -3 + 12x = (-3 * 4 + 2x * 4) + 8 -3 + 12x = (-12 + 8x) + 8 Reorder the terms: -3 + 12x = -12 + 8 + 8x Combine like terms: -12 + 8 = -4 -3 + 12x = -4 + 8x Solving -3 + 12x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 12x + -8x = -4 + 8x + -8x Combine like terms: 12x + -8x = 4x -3 + 4x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 4x = -4 + 0 -3 + 4x = -4 Add '3' to each side of the equation. -3 + 3 + 4x = -4 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -4 + 3 4x = -4 + 3 Combine like terms: -4 + 3 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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