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Simplifying 8(2 + -4x) = 8(6 + -6x) (2 * 8 + -4x * 8) = 8(6 + -6x) (16 + -32x) = 8(6 + -6x) 16 + -32x = (6 * 8 + -6x * 8) 16 + -32x = (48 + -48x) Solving 16 + -32x = 48 + -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. 16 + -32x + 48x = 48 + -48x + 48x Combine like terms: -32x + 48x = 16x 16 + 16x = 48 + -48x + 48x Combine like terms: -48x + 48x = 0 16 + 16x = 48 + 0 16 + 16x = 48 Add '-16' to each side of the equation. 16 + -16 + 16x = 48 + -16 Combine like terms: 16 + -16 = 0 0 + 16x = 48 + -16 16x = 48 + -16 Combine like terms: 48 + -16 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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