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Simplifying -48 = -5(4 + 4x) + 8(x + -8) -48 = (4 * -5 + 4x * -5) + 8(x + -8) -48 = (-20 + -20x) + 8(x + -8) Reorder the terms: -48 = -20 + -20x + 8(-8 + x) -48 = -20 + -20x + (-8 * 8 + x * 8) -48 = -20 + -20x + (-64 + 8x) Reorder the terms: -48 = -20 + -64 + -20x + 8x Combine like terms: -20 + -64 = -84 -48 = -84 + -20x + 8x Combine like terms: -20x + 8x = -12x -48 = -84 + -12x Solving -48 = -84 + -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. -48 + 12x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 -48 + 12x = -84 + 0 -48 + 12x = -84 Add '48' to each side of the equation. -48 + 48 + 12x = -84 + 48 Combine like terms: -48 + 48 = 0 0 + 12x = -84 + 48 12x = -84 + 48 Combine like terms: -84 + 48 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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