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Simplifying -6(1 + -5x) = -1x + -37 (1 * -6 + -5x * -6) = -1x + -37 (-6 + 30x) = -1x + -37 Reorder the terms: -6 + 30x = -37 + -1x Solving -6 + 30x = -37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 30x + x = -37 + -1x + x Combine like terms: 30x + x = 31x -6 + 31x = -37 + -1x + x Combine like terms: -1x + x = 0 -6 + 31x = -37 + 0 -6 + 31x = -37 Add '6' to each side of the equation. -6 + 6 + 31x = -37 + 6 Combine like terms: -6 + 6 = 0 0 + 31x = -37 + 6 31x = -37 + 6 Combine like terms: -37 + 6 = -31 31x = -31 Divide each side by '31'. x = -1 Simplifying x = -1
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