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Simplifying 3x + -5(x + -3) = -9 + 3x + 14 Reorder the terms: 3x + -5(-3 + x) = -9 + 3x + 14 3x + (-3 * -5 + x * -5) = -9 + 3x + 14 3x + (15 + -5x) = -9 + 3x + 14 Reorder the terms: 15 + 3x + -5x = -9 + 3x + 14 Combine like terms: 3x + -5x = -2x 15 + -2x = -9 + 3x + 14 Reorder the terms: 15 + -2x = -9 + 14 + 3x Combine like terms: -9 + 14 = 5 15 + -2x = 5 + 3x Solving 15 + -2x = 5 + 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. 15 + -2x + -3x = 5 + 3x + -3x Combine like terms: -2x + -3x = -5x 15 + -5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -5x = 5 + 0 15 + -5x = 5 Add '-15' to each side of the equation. 15 + -15 + -5x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 5 + -15 -5x = 5 + -15 Combine like terms: 5 + -15 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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