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Simplifying 4(8x + -1) + -8(6 + -5x) = -56 + 73x Reorder the terms: 4(-1 + 8x) + -8(6 + -5x) = -56 + 73x (-1 * 4 + 8x * 4) + -8(6 + -5x) = -56 + 73x (-4 + 32x) + -8(6 + -5x) = -56 + 73x -4 + 32x + (6 * -8 + -5x * -8) = -56 + 73x -4 + 32x + (-48 + 40x) = -56 + 73x Reorder the terms: -4 + -48 + 32x + 40x = -56 + 73x Combine like terms: -4 + -48 = -52 -52 + 32x + 40x = -56 + 73x Combine like terms: 32x + 40x = 72x -52 + 72x = -56 + 73x Solving -52 + 72x = -56 + 73x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-73x' to each side of the equation. -52 + 72x + -73x = -56 + 73x + -73x Combine like terms: 72x + -73x = -1x -52 + -1x = -56 + 73x + -73x Combine like terms: 73x + -73x = 0 -52 + -1x = -56 + 0 -52 + -1x = -56 Add '52' to each side of the equation. -52 + 52 + -1x = -56 + 52 Combine like terms: -52 + 52 = 0 0 + -1x = -56 + 52 -1x = -56 + 52 Combine like terms: -56 + 52 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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