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Simplifying 3(3x + 5) + -2 = 7x + 15 Reorder the terms: 3(5 + 3x) + -2 = 7x + 15 (5 * 3 + 3x * 3) + -2 = 7x + 15 (15 + 9x) + -2 = 7x + 15 Reorder the terms: 15 + -2 + 9x = 7x + 15 Combine like terms: 15 + -2 = 13 13 + 9x = 7x + 15 Reorder the terms: 13 + 9x = 15 + 7x Solving 13 + 9x = 15 + 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. 13 + 9x + -7x = 15 + 7x + -7x Combine like terms: 9x + -7x = 2x 13 + 2x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 2x = 15 + 0 13 + 2x = 15 Add '-13' to each side of the equation. 13 + -13 + 2x = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 15 + -13 2x = 15 + -13 Combine like terms: 15 + -13 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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