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Simplifying 7x + 15 = 3(3x + -5) Reorder the terms: 15 + 7x = 3(3x + -5) Reorder the terms: 15 + 7x = 3(-5 + 3x) 15 + 7x = (-5 * 3 + 3x * 3) 15 + 7x = (-15 + 9x) Solving 15 + 7x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 7x + -9x = -15 + 9x + -9x Combine like terms: 7x + -9x = -2x 15 + -2x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -2x = -15 + 0 15 + -2x = -15 Add '-15' to each side of the equation. 15 + -15 + -2x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -15 + -15 -2x = -15 + -15 Combine like terms: -15 + -15 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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