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Simplifying 3x + 7 + 5(2x + -3) = 3(3 + 3) Reorder the terms: 3x + 7 + 5(-3 + 2x) = 3(3 + 3) 3x + 7 + (-3 * 5 + 2x * 5) = 3(3 + 3) 3x + 7 + (-15 + 10x) = 3(3 + 3) Reorder the terms: 7 + -15 + 3x + 10x = 3(3 + 3) Combine like terms: 7 + -15 = -8 -8 + 3x + 10x = 3(3 + 3) Combine like terms: 3x + 10x = 13x -8 + 13x = 3(3 + 3) Combine like terms: 3 + 3 = 6 -8 + 13x = 3(6) Multiply 3 * 6 -8 + 13x = 18 Solving -8 + 13x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 18 + 8 13x = 18 + 8 Combine like terms: 18 + 8 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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