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Simplifying 5x + 34 = -2(1 + -1x) Reorder the terms: 34 + 5x = -2(1 + -1x) 34 + 5x = (1 * -2 + -1x * -2) 34 + 5x = (-2 + 2x) Solving 34 + 5x = -2 + 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 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x 34 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + 3x = -2 + 0 34 + 3x = -2 Add '-34' to each side of the equation. 34 + -34 + 3x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = -2 + -34 3x = -2 + -34 Combine like terms: -2 + -34 = -36 3x = -36 Divide each side by '3'. x = -12 Simplifying x = -12
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