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Simplifying 2x + 30 + -11x + -7 = 10 + -7x + 10x + 1 Reorder the terms: 30 + -7 + 2x + -11x = 10 + -7x + 10x + 1 Combine like terms: 30 + -7 = 23 23 + 2x + -11x = 10 + -7x + 10x + 1 Combine like terms: 2x + -11x = -9x 23 + -9x = 10 + -7x + 10x + 1 Reorder the terms: 23 + -9x = 10 + 1 + -7x + 10x Combine like terms: 10 + 1 = 11 23 + -9x = 11 + -7x + 10x Combine like terms: -7x + 10x = 3x 23 + -9x = 11 + 3x Solving 23 + -9x = 11 + 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. 23 + -9x + -3x = 11 + 3x + -3x Combine like terms: -9x + -3x = -12x 23 + -12x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -12x = 11 + 0 23 + -12x = 11 Add '-23' to each side of the equation. 23 + -23 + -12x = 11 + -23 Combine like terms: 23 + -23 = 0 0 + -12x = 11 + -23 -12x = 11 + -23 Combine like terms: 11 + -23 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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