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Simplifying 4(4 + -6x) = 8(2 + -4x) (4 * 4 + -6x * 4) = 8(2 + -4x) (16 + -24x) = 8(2 + -4x) 16 + -24x = (2 * 8 + -4x * 8) 16 + -24x = (16 + -32x) Add '-16' to each side of the equation. 16 + -16 + -24x = 16 + -16 + -32x Combine like terms: 16 + -16 = 0 0 + -24x = 16 + -16 + -32x -24x = 16 + -16 + -32x Combine like terms: 16 + -16 = 0 -24x = 0 + -32x -24x = -32x Solving -24x = -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. -24x + 32x = -32x + 32x Combine like terms: -24x + 32x = 8x 8x = -32x + 32x Combine like terms: -32x + 32x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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