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Simplifying 4(2 + -6x) = 8(2 + -4x) (2 * 4 + -6x * 4) = 8(2 + -4x) (8 + -24x) = 8(2 + -4x) 8 + -24x = (2 * 8 + -4x * 8) 8 + -24x = (16 + -32x) Solving 8 + -24x = 16 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 8 + -24x + 32x = 16 + -32x + 32x Combine like terms: -24x + 32x = 8x 8 + 8x = 16 + -32x + 32x Combine like terms: -32x + 32x = 0 8 + 8x = 16 + 0 8 + 8x = 16 Add '-8' to each side of the equation. 8 + -8 + 8x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 16 + -8 8x = 16 + -8 Combine like terms: 16 + -8 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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