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Simplifying 5 + -1(3x + 6) = 2x + 9 Reorder the terms: 5 + -1(6 + 3x) = 2x + 9 5 + (6 * -1 + 3x * -1) = 2x + 9 5 + (-6 + -3x) = 2x + 9 Combine like terms: 5 + -6 = -1 -1 + -3x = 2x + 9 Reorder the terms: -1 + -3x = 9 + 2x Solving -1 + -3x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + -3x + -2x = 9 + 2x + -2x Combine like terms: -3x + -2x = -5x -1 + -5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -5x = 9 + 0 -1 + -5x = 9 Add '1' to each side of the equation. -1 + 1 + -5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 9 + 1 -5x = 9 + 1 Combine like terms: 9 + 1 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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