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Simplifying 8(6 + 8x) = 8(6x + 1) (6 * 8 + 8x * 8) = 8(6x + 1) (48 + 64x) = 8(6x + 1) Reorder the terms: 48 + 64x = 8(1 + 6x) 48 + 64x = (1 * 8 + 6x * 8) 48 + 64x = (8 + 48x) Solving 48 + 64x = 8 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 48 + 64x + -48x = 8 + 48x + -48x Combine like terms: 64x + -48x = 16x 48 + 16x = 8 + 48x + -48x Combine like terms: 48x + -48x = 0 48 + 16x = 8 + 0 48 + 16x = 8 Add '-48' to each side of the equation. 48 + -48 + 16x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 16x = 8 + -48 16x = 8 + -48 Combine like terms: 8 + -48 = -40 16x = -40 Divide each side by '16'. x = -2.5 Simplifying x = -2.5
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