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Simplifying -9x + 7 = 2x + 10 + x + 9 Reorder the terms: 7 + -9x = 2x + 10 + x + 9 Reorder the terms: 7 + -9x = 10 + 9 + 2x + x Combine like terms: 10 + 9 = 19 7 + -9x = 19 + 2x + x Combine like terms: 2x + x = 3x 7 + -9x = 19 + 3x Solving 7 + -9x = 19 + 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. 7 + -9x + -3x = 19 + 3x + -3x Combine like terms: -9x + -3x = -12x 7 + -12x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -12x = 19 + 0 7 + -12x = 19 Add '-7' to each side of the equation. 7 + -7 + -12x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 19 + -7 -12x = 19 + -7 Combine like terms: 19 + -7 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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