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Simplifying -1 + 5(6x + -1) = 6x + -30 Reorder the terms: -1 + 5(-1 + 6x) = 6x + -30 -1 + (-1 * 5 + 6x * 5) = 6x + -30 -1 + (-5 + 30x) = 6x + -30 Combine like terms: -1 + -5 = -6 -6 + 30x = 6x + -30 Reorder the terms: -6 + 30x = -30 + 6x Solving -6 + 30x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 30x + -6x = -30 + 6x + -6x Combine like terms: 30x + -6x = 24x -6 + 24x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 24x = -30 + 0 -6 + 24x = -30 Add '6' to each side of the equation. -6 + 6 + 24x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 24x = -30 + 6 24x = -30 + 6 Combine like terms: -30 + 6 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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