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Simplifying 3(x + 5) + 2x = 7x + 9 Reorder the terms: 3(5 + x) + 2x = 7x + 9 (5 * 3 + x * 3) + 2x = 7x + 9 (15 + 3x) + 2x = 7x + 9 Combine like terms: 3x + 2x = 5x 15 + 5x = 7x + 9 Reorder the terms: 15 + 5x = 9 + 7x Solving 15 + 5x = 9 + 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 + 5x + -7x = 9 + 7x + -7x Combine like terms: 5x + -7x = -2x 15 + -2x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -2x = 9 + 0 15 + -2x = 9 Add '-15' to each side of the equation. 15 + -15 + -2x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 9 + -15 -2x = 9 + -15 Combine like terms: 9 + -15 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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