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Simplifying 2x + 4x + 6x + -34 = 2(x + 3) Reorder the terms: -34 + 2x + 4x + 6x = 2(x + 3) Combine like terms: 2x + 4x = 6x -34 + 6x + 6x = 2(x + 3) Combine like terms: 6x + 6x = 12x -34 + 12x = 2(x + 3) Reorder the terms: -34 + 12x = 2(3 + x) -34 + 12x = (3 * 2 + x * 2) -34 + 12x = (6 + 2x) Solving -34 + 12x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -34 + 12x + -2x = 6 + 2x + -2x Combine like terms: 12x + -2x = 10x -34 + 10x = 6 + 2x + -2x Combine like terms: 2x + -2x = 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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