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Simplifying 5x + -3(x + -2) = 30 + -3(x + 3) Reorder the terms: 5x + -3(-2 + x) = 30 + -3(x + 3) 5x + (-2 * -3 + x * -3) = 30 + -3(x + 3) 5x + (6 + -3x) = 30 + -3(x + 3) Reorder the terms: 6 + 5x + -3x = 30 + -3(x + 3) Combine like terms: 5x + -3x = 2x 6 + 2x = 30 + -3(x + 3) Reorder the terms: 6 + 2x = 30 + -3(3 + x) 6 + 2x = 30 + (3 * -3 + x * -3) 6 + 2x = 30 + (-9 + -3x) Combine like terms: 30 + -9 = 21 6 + 2x = 21 + -3x Solving 6 + 2x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 2x + 3x = 21 + -3x + 3x Combine like terms: 2x + 3x = 5x 6 + 5x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 5x = 21 + 0 6 + 5x = 21 Add '-6' to each side of the equation. 6 + -6 + 5x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 21 + -6 5x = 21 + -6 Combine like terms: 21 + -6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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