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Simplifying 35 + 3x = -8x + 7(6x + 5) Reorder the terms: 35 + 3x = -8x + 7(5 + 6x) 35 + 3x = -8x + (5 * 7 + 6x * 7) 35 + 3x = -8x + (35 + 42x) Reorder the terms: 35 + 3x = 35 + -8x + 42x Combine like terms: -8x + 42x = 34x 35 + 3x = 35 + 34x Add '-35' to each side of the equation. 35 + -35 + 3x = 35 + -35 + 34x Combine like terms: 35 + -35 = 0 0 + 3x = 35 + -35 + 34x 3x = 35 + -35 + 34x Combine like terms: 35 + -35 = 0 3x = 0 + 34x 3x = 34x Solving 3x = 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 3x + -34x = 34x + -34x Combine like terms: 3x + -34x = -31x -31x = 34x + -34x Combine like terms: 34x + -34x = 0 -31x = 0 Divide each side by '-31'. x = 0 Simplifying x = 0
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