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Simplifying 5x + -6 + -3x = -1(x + -9) Reorder the terms: -6 + 5x + -3x = -1(x + -9) Combine like terms: 5x + -3x = 2x -6 + 2x = -1(x + -9) Reorder the terms: -6 + 2x = -1(-9 + x) -6 + 2x = (-9 * -1 + x * -1) -6 + 2x = (9 + -1x) Solving -6 + 2x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 2x + x = 9 + -1x + x Combine like terms: 2x + x = 3x -6 + 3x = 9 + -1x + x Combine like terms: -1x + x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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