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Simplifying 2x + -6 = -2x + -1(x + -9) Reorder the terms: -6 + 2x = -2x + -1(x + -9) Reorder the terms: -6 + 2x = -2x + -1(-9 + x) -6 + 2x = -2x + (-9 * -1 + x * -1) -6 + 2x = -2x + (9 + -1x) Reorder the terms: -6 + 2x = 9 + -2x + -1x Combine like terms: -2x + -1x = -3x -6 + 2x = 9 + -3x Solving -6 + 2x = 9 + -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. -6 + 2x + 3x = 9 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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