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Simplifying 3x + 37 = 5(x + 5) Reorder the terms: 37 + 3x = 5(x + 5) Reorder the terms: 37 + 3x = 5(5 + x) 37 + 3x = (5 * 5 + x * 5) 37 + 3x = (25 + 5x) Solving 37 + 3x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 37 + 3x + -5x = 25 + 5x + -5x Combine like terms: 3x + -5x = -2x 37 + -2x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 37 + -2x = 25 + 0 37 + -2x = 25 Add '-37' to each side of the equation. 37 + -37 + -2x = 25 + -37 Combine like terms: 37 + -37 = 0 0 + -2x = 25 + -37 -2x = 25 + -37 Combine like terms: 25 + -37 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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