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Simplifying 3x + -5(x + -3) = -6 + 3x + -9 Reorder the terms: 3x + -5(-3 + x) = -6 + 3x + -9 3x + (-3 * -5 + x * -5) = -6 + 3x + -9 3x + (15 + -5x) = -6 + 3x + -9 Reorder the terms: 15 + 3x + -5x = -6 + 3x + -9 Combine like terms: 3x + -5x = -2x 15 + -2x = -6 + 3x + -9 Reorder the terms: 15 + -2x = -6 + -9 + 3x Combine like terms: -6 + -9 = -15 15 + -2x = -15 + 3x Solving 15 + -2x = -15 + 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 = -15 + 3x + -3x Combine like terms: -2x + -3x = -5x 15 + -5x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -5x = -15 + 0 15 + -5x = -15 Add '-15' to each side of the equation. 15 + -15 + -5x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -15 + -15 -5x = -15 + -15 Combine like terms: -15 + -15 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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