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Simplifying 8(1 + -8x) + 2(3x + -3) = -56 (1 * 8 + -8x * 8) + 2(3x + -3) = -56 (8 + -64x) + 2(3x + -3) = -56 Reorder the terms: 8 + -64x + 2(-3 + 3x) = -56 8 + -64x + (-3 * 2 + 3x * 2) = -56 8 + -64x + (-6 + 6x) = -56 Reorder the terms: 8 + -6 + -64x + 6x = -56 Combine like terms: 8 + -6 = 2 2 + -64x + 6x = -56 Combine like terms: -64x + 6x = -58x 2 + -58x = -56 Solving 2 + -58x = -56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -58x = -56 + -2 Combine like terms: 2 + -2 = 0 0 + -58x = -56 + -2 -58x = -56 + -2 Combine like terms: -56 + -2 = -58 -58x = -58 Divide each side by '-58'. x = 1 Simplifying x = 1
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