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Simplifying 3(4x + -5) = 7(x + 3) Reorder the terms: 3(-5 + 4x) = 7(x + 3) (-5 * 3 + 4x * 3) = 7(x + 3) (-15 + 12x) = 7(x + 3) Reorder the terms: -15 + 12x = 7(3 + x) -15 + 12x = (3 * 7 + x * 7) -15 + 12x = (21 + 7x) Solving -15 + 12x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 12x + -7x = 21 + 7x + -7x Combine like terms: 12x + -7x = 5x -15 + 5x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 5x = 21 + 0 -15 + 5x = 21 Add '15' to each side of the equation. -15 + 15 + 5x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 21 + 15 5x = 21 + 15 Combine like terms: 21 + 15 = 36 5x = 36 Divide each side by '5'. x = 7.2 Simplifying x = 7.2
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