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Simplifying 13(3x + -4) = 5(3x + 4) Reorder the terms: 13(-4 + 3x) = 5(3x + 4) (-4 * 13 + 3x * 13) = 5(3x + 4) (-52 + 39x) = 5(3x + 4) Reorder the terms: -52 + 39x = 5(4 + 3x) -52 + 39x = (4 * 5 + 3x * 5) -52 + 39x = (20 + 15x) Solving -52 + 39x = 20 + 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. -52 + 39x + -15x = 20 + 15x + -15x Combine like terms: 39x + -15x = 24x -52 + 24x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 -52 + 24x = 20 + 0 -52 + 24x = 20 Add '52' to each side of the equation. -52 + 52 + 24x = 20 + 52 Combine like terms: -52 + 52 = 0 0 + 24x = 20 + 52 24x = 20 + 52 Combine like terms: 20 + 52 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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