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