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Simplifying 3(3x + 5) + -7 = 5(x + 3) Reorder the terms: 3(5 + 3x) + -7 = 5(x + 3) (5 * 3 + 3x * 3) + -7 = 5(x + 3) (15 + 9x) + -7 = 5(x + 3) Reorder the terms: 15 + -7 + 9x = 5(x + 3) Combine like terms: 15 + -7 = 8 8 + 9x = 5(x + 3) Reorder the terms: 8 + 9x = 5(3 + x) 8 + 9x = (3 * 5 + x * 5) 8 + 9x = (15 + 5x) Solving 8 + 9x = 15 + 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. 8 + 9x + -5x = 15 + 5x + -5x Combine like terms: 9x + -5x = 4x 8 + 4x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 4x = 15 + 0 8 + 4x = 15 Add '-8' to each side of the equation. 8 + -8 + 4x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 15 + -8 4x = 15 + -8 Combine like terms: 15 + -8 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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