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