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Simplifying 5(4x + -3) = 37 + 7x Reorder the terms: 5(-3 + 4x) = 37 + 7x (-3 * 5 + 4x * 5) = 37 + 7x (-15 + 20x) = 37 + 7x Solving -15 + 20x = 37 + 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 + 20x + -7x = 37 + 7x + -7x Combine like terms: 20x + -7x = 13x -15 + 13x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 13x = 37 + 0 -15 + 13x = 37 Add '15' to each side of the equation. -15 + 15 + 13x = 37 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 37 + 15 13x = 37 + 15 Combine like terms: 37 + 15 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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