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Simplifying 5(2 + -1x) = 34 + x (2 * 5 + -1x * 5) = 34 + x (10 + -5x) = 34 + x Solving 10 + -5x = 34 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -5x + -1x = 34 + x + -1x Combine like terms: -5x + -1x = -6x 10 + -6x = 34 + x + -1x Combine like terms: x + -1x = 0 10 + -6x = 34 + 0 10 + -6x = 34 Add '-10' to each side of the equation. 10 + -10 + -6x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 34 + -10 -6x = 34 + -10 Combine like terms: 34 + -10 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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