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Simplifying 4(6x + 3) = 4(5x + 7) Reorder the terms: 4(3 + 6x) = 4(5x + 7) (3 * 4 + 6x * 4) = 4(5x + 7) (12 + 24x) = 4(5x + 7) Reorder the terms: 12 + 24x = 4(7 + 5x) 12 + 24x = (7 * 4 + 5x * 4) 12 + 24x = (28 + 20x) Solving 12 + 24x = 28 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + 24x + -20x = 28 + 20x + -20x Combine like terms: 24x + -20x = 4x 12 + 4x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + 4x = 28 + 0 12 + 4x = 28 Add '-12' to each side of the equation. 12 + -12 + 4x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 28 + -12 4x = 28 + -12 Combine like terms: 28 + -12 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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