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Simplifying 12 + 4(2x + -5) = -3(2 + -4x) + -1 Reorder the terms: 12 + 4(-5 + 2x) = -3(2 + -4x) + -1 12 + (-5 * 4 + 2x * 4) = -3(2 + -4x) + -1 12 + (-20 + 8x) = -3(2 + -4x) + -1 Combine like terms: 12 + -20 = -8 -8 + 8x = -3(2 + -4x) + -1 -8 + 8x = (2 * -3 + -4x * -3) + -1 -8 + 8x = (-6 + 12x) + -1 Reorder the terms: -8 + 8x = -6 + -1 + 12x Combine like terms: -6 + -1 = -7 -8 + 8x = -7 + 12x Solving -8 + 8x = -7 + 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. -8 + 8x + -12x = -7 + 12x + -12x Combine like terms: 8x + -12x = -4x -8 + -4x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -4x = -7 + 0 -8 + -4x = -7 Add '8' to each side of the equation. -8 + 8 + -4x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -7 + 8 -4x = -7 + 8 Combine like terms: -7 + 8 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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