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Simplifying 3x + 15 + -6x + -10 = 9x + -6 + -3x + 15 Reorder the terms: 15 + -10 + 3x + -6x = 9x + -6 + -3x + 15 Combine like terms: 15 + -10 = 5 5 + 3x + -6x = 9x + -6 + -3x + 15 Combine like terms: 3x + -6x = -3x 5 + -3x = 9x + -6 + -3x + 15 Reorder the terms: 5 + -3x = -6 + 15 + 9x + -3x Combine like terms: -6 + 15 = 9 5 + -3x = 9 + 9x + -3x Combine like terms: 9x + -3x = 6x 5 + -3x = 9 + 6x Solving 5 + -3x = 9 + 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 = 9 + 6x + -6x Combine like terms: -3x + -6x = -9x 5 + -9x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -9x = 9 + 0 5 + -9x = 9 Add '-5' to each side of the equation. 5 + -5 + -9x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 9 + -5 -9x = 9 + -5 Combine like terms: 9 + -5 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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