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Simplifying -34 = x + 2 + 4(3x + 4) Reorder the terms: -34 = x + 2 + 4(4 + 3x) -34 = x + 2 + (4 * 4 + 3x * 4) -34 = x + 2 + (16 + 12x) Reorder the terms: -34 = 2 + 16 + x + 12x Combine like terms: 2 + 16 = 18 -34 = 18 + x + 12x Combine like terms: x + 12x = 13x -34 = 18 + 13x Solving -34 = 18 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -34 + -13x = 18 + 13x + -13x Combine like terms: 13x + -13x = 0 -34 + -13x = 18 + 0 -34 + -13x = 18 Add '34' to each side of the equation. -34 + 34 + -13x = 18 + 34 Combine like terms: -34 + 34 = 0 0 + -13x = 18 + 34 -13x = 18 + 34 Combine like terms: 18 + 34 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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