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Simplifying x + 2(x + -4) = 34 + -3x Reorder the terms: x + 2(-4 + x) = 34 + -3x x + (-4 * 2 + x * 2) = 34 + -3x x + (-8 + 2x) = 34 + -3x Reorder the terms: -8 + x + 2x = 34 + -3x Combine like terms: x + 2x = 3x -8 + 3x = 34 + -3x Solving -8 + 3x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 3x + 3x = 34 + -3x + 3x Combine like terms: 3x + 3x = 6x -8 + 6x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 6x = 34 + 0 -8 + 6x = 34 Add '8' to each side of the equation. -8 + 8 + 6x = 34 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 34 + 8 6x = 34 + 8 Combine like terms: 34 + 8 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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