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Simplifying 30 + -1(x + 8) = 5x + -2 Reorder the terms: 30 + -1(8 + x) = 5x + -2 30 + (8 * -1 + x * -1) = 5x + -2 30 + (-8 + -1x) = 5x + -2 Combine like terms: 30 + -8 = 22 22 + -1x = 5x + -2 Reorder the terms: 22 + -1x = -2 + 5x Solving 22 + -1x = -2 + 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. 22 + -1x + -5x = -2 + 5x + -5x Combine like terms: -1x + -5x = -6x 22 + -6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -6x = -2 + 0 22 + -6x = -2 Add '-22' to each side of the equation. 22 + -22 + -6x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = -2 + -22 -6x = -2 + -22 Combine like terms: -2 + -22 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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