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Simplifying 4 + -3(4x + 3) = 4(2x + -6) + (-1) Reorder the terms: 4 + -3(3 + 4x) = 4(2x + -6) + (-1) 4 + (3 * -3 + 4x * -3) = 4(2x + -6) + (-1) 4 + (-9 + -12x) = 4(2x + -6) + (-1) Combine like terms: 4 + -9 = -5 -5 + -12x = 4(2x + -6) + (-1) Reorder the terms: -5 + -12x = 4(-6 + 2x) + (-1) -5 + -12x = (-6 * 4 + 2x * 4) + (-1) -5 + -12x = (-24 + 8x) + (-1) -5 + -12x = -24 + 8x + -1 Reorder the terms: -5 + -12x = -24 + -1 + 8x Combine like terms: -24 + -1 = -25 -5 + -12x = -25 + 8x Solving -5 + -12x = -25 + 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. -5 + -12x + -8x = -25 + 8x + -8x Combine like terms: -12x + -8x = -20x -5 + -20x = -25 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -20x = -25 + 0 -5 + -20x = -25 Add '5' to each side of the equation. -5 + 5 + -20x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -20x = -25 + 5 -20x = -25 + 5 Combine like terms: -25 + 5 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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