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Simplifying 2x + -34 = 3(4x + 2) Reorder the terms: -34 + 2x = 3(4x + 2) Reorder the terms: -34 + 2x = 3(2 + 4x) -34 + 2x = (2 * 3 + 4x * 3) -34 + 2x = (6 + 12x) Solving -34 + 2x = 6 + 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. -34 + 2x + -12x = 6 + 12x + -12x Combine like terms: 2x + -12x = -10x -34 + -10x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -34 + -10x = 6 + 0 -34 + -10x = 6 Add '34' to each side of the equation. -34 + 34 + -10x = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -10x = 6 + 34 -10x = 6 + 34 Combine like terms: 6 + 34 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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