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Simplifying 3x + 15 + -6x + -10 = 9x + -6 + -3 + 5 Reorder the terms: 15 + -10 + 3x + -6x = 9x + -6 + -3 + 5 Combine like terms: 15 + -10 = 5 5 + 3x + -6x = 9x + -6 + -3 + 5 Combine like terms: 3x + -6x = -3x 5 + -3x = 9x + -6 + -3 + 5 Reorder the terms: 5 + -3x = -6 + -3 + 5 + 9x Combine like terms: -6 + -3 = -9 5 + -3x = -9 + 5 + 9x Combine like terms: -9 + 5 = -4 5 + -3x = -4 + 9x Solving 5 + -3x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + -3x + -9x = -4 + 9x + -9x Combine like terms: -3x + -9x = -12x 5 + -12x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -12x = -4 + 0 5 + -12x = -4 Add '-5' to each side of the equation. 5 + -5 + -12x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = -4 + -5 -12x = -4 + -5 Combine like terms: -4 + -5 = -9 -12x = -9 Divide each side by '-12'. x = 0.75 Simplifying x = 0.75
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