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Simplifying 4(2x + 6) = 6 + -3(x + -6) Reorder the terms: 4(6 + 2x) = 6 + -3(x + -6) (6 * 4 + 2x * 4) = 6 + -3(x + -6) (24 + 8x) = 6 + -3(x + -6) Reorder the terms: 24 + 8x = 6 + -3(-6 + x) 24 + 8x = 6 + (-6 * -3 + x * -3) 24 + 8x = 6 + (18 + -3x) Combine like terms: 6 + 18 = 24 24 + 8x = 24 + -3x Add '-24' to each side of the equation. 24 + -24 + 8x = 24 + -24 + -3x Combine like terms: 24 + -24 = 0 0 + 8x = 24 + -24 + -3x 8x = 24 + -24 + -3x Combine like terms: 24 + -24 = 0 8x = 0 + -3x 8x = -3x Solving 8x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8x + 3x = -3x + 3x Combine like terms: 8x + 3x = 11x 11x = -3x + 3x Combine like terms: -3x + 3x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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