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Simplifying 8(8x + 8) + -3(x + -6) = -40 Reorder the terms: 8(8 + 8x) + -3(x + -6) = -40 (8 * 8 + 8x * 8) + -3(x + -6) = -40 (64 + 64x) + -3(x + -6) = -40 Reorder the terms: 64 + 64x + -3(-6 + x) = -40 64 + 64x + (-6 * -3 + x * -3) = -40 64 + 64x + (18 + -3x) = -40 Reorder the terms: 64 + 18 + 64x + -3x = -40 Combine like terms: 64 + 18 = 82 82 + 64x + -3x = -40 Combine like terms: 64x + -3x = 61x 82 + 61x = -40 Solving 82 + 61x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 61x = -40 + -82 Combine like terms: 82 + -82 = 0 0 + 61x = -40 + -82 61x = -40 + -82 Combine like terms: -40 + -82 = -122 61x = -122 Divide each side by '61'. x = -2 Simplifying x = -2
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