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Simplifying 8(x + -8) + -4x = -4(-5x + 4) + 8x Reorder the terms: 8(-8 + x) + -4x = -4(-5x + 4) + 8x (-8 * 8 + x * 8) + -4x = -4(-5x + 4) + 8x (-64 + 8x) + -4x = -4(-5x + 4) + 8x Combine like terms: 8x + -4x = 4x -64 + 4x = -4(-5x + 4) + 8x Reorder the terms: -64 + 4x = -4(4 + -5x) + 8x -64 + 4x = (4 * -4 + -5x * -4) + 8x -64 + 4x = (-16 + 20x) + 8x Combine like terms: 20x + 8x = 28x -64 + 4x = -16 + 28x Solving -64 + 4x = -16 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -64 + 4x + -28x = -16 + 28x + -28x Combine like terms: 4x + -28x = -24x -64 + -24x = -16 + 28x + -28x Combine like terms: 28x + -28x = 0 -64 + -24x = -16 + 0 -64 + -24x = -16 Add '64' to each side of the equation. -64 + 64 + -24x = -16 + 64 Combine like terms: -64 + 64 = 0 0 + -24x = -16 + 64 -24x = -16 + 64 Combine like terms: -16 + 64 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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