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Simplifying 5x + -1(2x + 3) = x + 9 Reorder the terms: 5x + -1(3 + 2x) = x + 9 5x + (3 * -1 + 2x * -1) = x + 9 5x + (-3 + -2x) = x + 9 Reorder the terms: -3 + 5x + -2x = x + 9 Combine like terms: 5x + -2x = 3x -3 + 3x = x + 9 Reorder the terms: -3 + 3x = 9 + x Solving -3 + 3x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 3x + -1x = 9 + x + -1x Combine like terms: 3x + -1x = 2x -3 + 2x = 9 + x + -1x Combine like terms: x + -1x = 0 -3 + 2x = 9 + 0 -3 + 2x = 9 Add '3' to each side of the equation. -3 + 3 + 2x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 9 + 3 2x = 9 + 3 Combine like terms: 9 + 3 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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