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Simplifying 5x + -6 + 7x + -3 = x + 35 Reorder the terms: -6 + -3 + 5x + 7x = x + 35 Combine like terms: -6 + -3 = -9 -9 + 5x + 7x = x + 35 Combine like terms: 5x + 7x = 12x -9 + 12x = x + 35 Reorder the terms: -9 + 12x = 35 + x Solving -9 + 12x = 35 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 12x + -1x = 35 + x + -1x Combine like terms: 12x + -1x = 11x -9 + 11x = 35 + x + -1x Combine like terms: x + -1x = 0 -9 + 11x = 35 + 0 -9 + 11x = 35 Add '9' to each side of the equation. -9 + 9 + 11x = 35 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 35 + 9 11x = 35 + 9 Combine like terms: 35 + 9 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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