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Simplifying 34 + -3x = -2 + -5(x + -4) Reorder the terms: 34 + -3x = -2 + -5(-4 + x) 34 + -3x = -2 + (-4 * -5 + x * -5) 34 + -3x = -2 + (20 + -5x) Combine like terms: -2 + 20 = 18 34 + -3x = 18 + -5x Solving 34 + -3x = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 34 + -3x + 5x = 18 + -5x + 5x Combine like terms: -3x + 5x = 2x 34 + 2x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 34 + 2x = 18 + 0 34 + 2x = 18 Add '-34' to each side of the equation. 34 + -34 + 2x = 18 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 18 + -34 2x = 18 + -34 Combine like terms: 18 + -34 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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