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Simplifying 3x + -15 + -6x + 2 = 9x + -6 + -3x + -16 Reorder the terms: -15 + 2 + 3x + -6x = 9x + -6 + -3x + -16 Combine like terms: -15 + 2 = -13 -13 + 3x + -6x = 9x + -6 + -3x + -16 Combine like terms: 3x + -6x = -3x -13 + -3x = 9x + -6 + -3x + -16 Reorder the terms: -13 + -3x = -6 + -16 + 9x + -3x Combine like terms: -6 + -16 = -22 -13 + -3x = -22 + 9x + -3x Combine like terms: 9x + -3x = 6x -13 + -3x = -22 + 6x Solving -13 + -3x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + -3x + -6x = -22 + 6x + -6x Combine like terms: -3x + -6x = -9x -13 + -9x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -9x = -22 + 0 -13 + -9x = -22 Add '13' to each side of the equation. -13 + 13 + -9x = -22 + 13 Combine like terms: -13 + 13 = 0 0 + -9x = -22 + 13 -9x = -22 + 13 Combine like terms: -22 + 13 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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