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Simplifying -5(1 + 6x) = x + -5 (1 * -5 + 6x * -5) = x + -5 (-5 + -30x) = x + -5 Reorder the terms: -5 + -30x = -5 + x Add '5' to each side of the equation. -5 + 5 + -30x = -5 + 5 + x Combine like terms: -5 + 5 = 0 0 + -30x = -5 + 5 + x -30x = -5 + 5 + x Combine like terms: -5 + 5 = 0 -30x = 0 + x -30x = x Solving -30x = 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. -30x + -1x = x + -1x Combine like terms: -30x + -1x = -31x -31x = x + -1x Combine like terms: x + -1x = 0 -31x = 0 Divide each side by '-31'. x = 0 Simplifying x = 0
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