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Simplifying 4(x + 6) = x + x Reorder the terms: 4(6 + x) = x + x (6 * 4 + x * 4) = x + x (24 + 4x) = x + x Combine like terms: x + x = 2x 24 + 4x = 2x Solving 24 + 4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 24 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 24 + 2x = 0 Add '-24' to each side of the equation. 24 + -24 + 2x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 0 + -24 2x = 0 + -24 Combine like terms: 0 + -24 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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