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Simplifying 8x + 9 + 3x + -4 = x + 35 Reorder the terms: 9 + -4 + 8x + 3x = x + 35 Combine like terms: 9 + -4 = 5 5 + 8x + 3x = x + 35 Combine like terms: 8x + 3x = 11x 5 + 11x = x + 35 Reorder the terms: 5 + 11x = 35 + x Solving 5 + 11x = 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. 5 + 11x + -1x = 35 + x + -1x Combine like terms: 11x + -1x = 10x 5 + 10x = 35 + x + -1x Combine like terms: x + -1x = 0 5 + 10x = 35 + 0 5 + 10x = 35 Add '-5' to each side of the equation. 5 + -5 + 10x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 35 + -5 10x = 35 + -5 Combine like terms: 35 + -5 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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