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Simplifying x + -3(x + 3) = 5(x + -6) Reorder the terms: x + -3(3 + x) = 5(x + -6) x + (3 * -3 + x * -3) = 5(x + -6) x + (-9 + -3x) = 5(x + -6) Reorder the terms: -9 + x + -3x = 5(x + -6) Combine like terms: x + -3x = -2x -9 + -2x = 5(x + -6) Reorder the terms: -9 + -2x = 5(-6 + x) -9 + -2x = (-6 * 5 + x * 5) -9 + -2x = (-30 + 5x) Solving -9 + -2x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + -2x + -5x = -30 + 5x + -5x Combine like terms: -2x + -5x = -7x -9 + -7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -7x = -30 + 0 -9 + -7x = -30 Add '9' to each side of the equation. -9 + 9 + -7x = -30 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -30 + 9 -7x = -30 + 9 Combine like terms: -30 + 9 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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