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Simplifying -8(x + 4) + -4x = -5(6x + -8) + 10x Reorder the terms: -8(4 + x) + -4x = -5(6x + -8) + 10x (4 * -8 + x * -8) + -4x = -5(6x + -8) + 10x (-32 + -8x) + -4x = -5(6x + -8) + 10x Combine like terms: -8x + -4x = -12x -32 + -12x = -5(6x + -8) + 10x Reorder the terms: -32 + -12x = -5(-8 + 6x) + 10x -32 + -12x = (-8 * -5 + 6x * -5) + 10x -32 + -12x = (40 + -30x) + 10x Combine like terms: -30x + 10x = -20x -32 + -12x = 40 + -20x Solving -32 + -12x = 40 + -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. -32 + -12x + 20x = 40 + -20x + 20x Combine like terms: -12x + 20x = 8x -32 + 8x = 40 + -20x + 20x Combine like terms: -20x + 20x = 0 -32 + 8x = 40 + 0 -32 + 8x = 40 Add '32' to each side of the equation. -32 + 32 + 8x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 40 + 32 8x = 40 + 32 Combine like terms: 40 + 32 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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