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Simplifying 8(1 + 4x) = 8(6x + 3) (1 * 8 + 4x * 8) = 8(6x + 3) (8 + 32x) = 8(6x + 3) Reorder the terms: 8 + 32x = 8(3 + 6x) 8 + 32x = (3 * 8 + 6x * 8) 8 + 32x = (24 + 48x) Solving 8 + 32x = 24 + 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. 8 + 32x + -48x = 24 + 48x + -48x Combine like terms: 32x + -48x = -16x 8 + -16x = 24 + 48x + -48x Combine like terms: 48x + -48x = 0 8 + -16x = 24 + 0 8 + -16x = 24 Add '-8' to each side of the equation. 8 + -8 + -16x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = 24 + -8 -16x = 24 + -8 Combine like terms: 24 + -8 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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