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Simplifying 3(x + 3) = x + -5(x + -2) + -1 Reorder the terms: 3(3 + x) = x + -5(x + -2) + -1 (3 * 3 + x * 3) = x + -5(x + -2) + -1 (9 + 3x) = x + -5(x + -2) + -1 Reorder the terms: 9 + 3x = x + -5(-2 + x) + -1 9 + 3x = x + (-2 * -5 + x * -5) + -1 9 + 3x = x + (10 + -5x) + -1 Reorder the terms: 9 + 3x = 10 + -1 + x + -5x Combine like terms: 10 + -1 = 9 9 + 3x = 9 + x + -5x Combine like terms: x + -5x = -4x 9 + 3x = 9 + -4x Add '-9' to each side of the equation. 9 + -9 + 3x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 0 + 3x = 9 + -9 + -4x 3x = 9 + -9 + -4x Combine like terms: 9 + -9 = 0 3x = 0 + -4x 3x = -4x Solving 3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3x + 4x = -4x + 4x Combine like terms: 3x + 4x = 7x 7x = -4x + 4x Combine like terms: -4x + 4x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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