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Simplifying 3x + 15 + -6x + -10 = 9x + -6 + -3x + 5 Reorder the terms: 15 + -10 + 3x + -6x = 9x + -6 + -3x + 5 Combine like terms: 15 + -10 = 5 5 + 3x + -6x = 9x + -6 + -3x + 5 Combine like terms: 3x + -6x = -3x 5 + -3x = 9x + -6 + -3x + 5 Reorder the terms: 5 + -3x = -6 + 5 + 9x + -3x Combine like terms: -6 + 5 = -1 5 + -3x = -1 + 9x + -3x Combine like terms: 9x + -3x = 6x 5 + -3x = -1 + 6x Solving 5 + -3x = -1 + 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. 5 + -3x + -6x = -1 + 6x + -6x Combine like terms: -3x + -6x = -9x 5 + -9x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -9x = -1 + 0 5 + -9x = -1 Add '-5' to each side of the equation. 5 + -5 + -9x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -1 + -5 -9x = -1 + -5 Combine like terms: -1 + -5 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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