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Simplifying 4(2x + 6) = 4 + 3x Reorder the terms: 4(6 + 2x) = 4 + 3x (6 * 4 + 2x * 4) = 4 + 3x (24 + 8x) = 4 + 3x Solving 24 + 8x = 4 + 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. 24 + 8x + -3x = 4 + 3x + -3x Combine like terms: 8x + -3x = 5x 24 + 5x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 5x = 4 + 0 24 + 5x = 4 Add '-24' to each side of the equation. 24 + -24 + 5x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 4 + -24 5x = 4 + -24 Combine like terms: 4 + -24 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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