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Simplifying 4(5x + 3) = 7(2x + 3) Reorder the terms: 4(3 + 5x) = 7(2x + 3) (3 * 4 + 5x * 4) = 7(2x + 3) (12 + 20x) = 7(2x + 3) Reorder the terms: 12 + 20x = 7(3 + 2x) 12 + 20x = (3 * 7 + 2x * 7) 12 + 20x = (21 + 14x) Solving 12 + 20x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 20x + -14x = 21 + 14x + -14x Combine like terms: 20x + -14x = 6x 12 + 6x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + 6x = 21 + 0 12 + 6x = 21 Add '-12' to each side of the equation. 12 + -12 + 6x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 21 + -12 6x = 21 + -12 Combine like terms: 21 + -12 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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