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Simplifying -56 = 8(-2 + -3x) + 8(3 + -5x) -56 = (-2 * 8 + -3x * 8) + 8(3 + -5x) -56 = (-16 + -24x) + 8(3 + -5x) -56 = -16 + -24x + (3 * 8 + -5x * 8) -56 = -16 + -24x + (24 + -40x) Reorder the terms: -56 = -16 + 24 + -24x + -40x Combine like terms: -16 + 24 = 8 -56 = 8 + -24x + -40x Combine like terms: -24x + -40x = -64x -56 = 8 + -64x Solving -56 = 8 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. -56 + 64x = 8 + -64x + 64x Combine like terms: -64x + 64x = 0 -56 + 64x = 8 + 0 -56 + 64x = 8 Add '56' to each side of the equation. -56 + 56 + 64x = 8 + 56 Combine like terms: -56 + 56 = 0 0 + 64x = 8 + 56 64x = 8 + 56 Combine like terms: 8 + 56 = 64 64x = 64 Divide each side by '64'. x = 1 Simplifying x = 1
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