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Simplifying 3x + -4 + 2(x + -5) = 34 + -11x Reorder the terms: 3x + -4 + 2(-5 + x) = 34 + -11x 3x + -4 + (-5 * 2 + x * 2) = 34 + -11x 3x + -4 + (-10 + 2x) = 34 + -11x Reorder the terms: -4 + -10 + 3x + 2x = 34 + -11x Combine like terms: -4 + -10 = -14 -14 + 3x + 2x = 34 + -11x Combine like terms: 3x + 2x = 5x -14 + 5x = 34 + -11x Solving -14 + 5x = 34 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -14 + 5x + 11x = 34 + -11x + 11x Combine like terms: 5x + 11x = 16x -14 + 16x = 34 + -11x + 11x Combine like terms: -11x + 11x = 0 -14 + 16x = 34 + 0 -14 + 16x = 34 Add '14' to each side of the equation. -14 + 14 + 16x = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 34 + 14 16x = 34 + 14 Combine like terms: 34 + 14 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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