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Simplifying 4(x + -1) + 4x = -4x + -8(-3x + -4) Reorder the terms: 4(-1 + x) + 4x = -4x + -8(-3x + -4) (-1 * 4 + x * 4) + 4x = -4x + -8(-3x + -4) (-4 + 4x) + 4x = -4x + -8(-3x + -4) Combine like terms: 4x + 4x = 8x -4 + 8x = -4x + -8(-3x + -4) Reorder the terms: -4 + 8x = -4x + -8(-4 + -3x) -4 + 8x = -4x + (-4 * -8 + -3x * -8) -4 + 8x = -4x + (32 + 24x) Reorder the terms: -4 + 8x = 32 + -4x + 24x Combine like terms: -4x + 24x = 20x -4 + 8x = 32 + 20x Solving -4 + 8x = 32 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -4 + 8x + -20x = 32 + 20x + -20x Combine like terms: 8x + -20x = -12x -4 + -12x = 32 + 20x + -20x Combine like terms: 20x + -20x = 0 -4 + -12x = 32 + 0 -4 + -12x = 32 Add '4' to each side of the equation. -4 + 4 + -12x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 32 + 4 -12x = 32 + 4 Combine like terms: 32 + 4 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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