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Simplifying 7(2x + 3) = 5(4x + -3) Reorder the terms: 7(3 + 2x) = 5(4x + -3) (3 * 7 + 2x * 7) = 5(4x + -3) (21 + 14x) = 5(4x + -3) Reorder the terms: 21 + 14x = 5(-3 + 4x) 21 + 14x = (-3 * 5 + 4x * 5) 21 + 14x = (-15 + 20x) Solving 21 + 14x = -15 + 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. 21 + 14x + -20x = -15 + 20x + -20x Combine like terms: 14x + -20x = -6x 21 + -6x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 21 + -6x = -15 + 0 21 + -6x = -15 Add '-21' to each side of the equation. 21 + -21 + -6x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -15 + -21 -6x = -15 + -21 Combine like terms: -15 + -21 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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