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Simplifying 7(4x + -3) = 3(5x + 6) Reorder the terms: 7(-3 + 4x) = 3(5x + 6) (-3 * 7 + 4x * 7) = 3(5x + 6) (-21 + 28x) = 3(5x + 6) Reorder the terms: -21 + 28x = 3(6 + 5x) -21 + 28x = (6 * 3 + 5x * 3) -21 + 28x = (18 + 15x) Solving -21 + 28x = 18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -21 + 28x + -15x = 18 + 15x + -15x Combine like terms: 28x + -15x = 13x -21 + 13x = 18 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + 13x = 18 + 0 -21 + 13x = 18 Add '21' to each side of the equation. -21 + 21 + 13x = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 13x = 18 + 21 13x = 18 + 21 Combine like terms: 18 + 21 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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