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Simplifying x + -35 = 3(2x + 1) + 7 Reorder the terms: -35 + x = 3(2x + 1) + 7 Reorder the terms: -35 + x = 3(1 + 2x) + 7 -35 + x = (1 * 3 + 2x * 3) + 7 -35 + x = (3 + 6x) + 7 Reorder the terms: -35 + x = 3 + 7 + 6x Combine like terms: 3 + 7 = 10 -35 + x = 10 + 6x Solving -35 + x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + x + -6x = 10 + 6x + -6x Combine like terms: x + -6x = -5x -35 + -5x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -5x = 10 + 0 -35 + -5x = 10 Add '35' to each side of the equation. -35 + 35 + -5x = 10 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = 10 + 35 -5x = 10 + 35 Combine like terms: 10 + 35 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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