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