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Simplifying 7(-1x + -6) = -37 + -8x Reorder the terms: 7(-6 + -1x) = -37 + -8x (-6 * 7 + -1x * 7) = -37 + -8x (-42 + -7x) = -37 + -8x Solving -42 + -7x = -37 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -42 + -7x + 8x = -37 + -8x + 8x Combine like terms: -7x + 8x = 1x -42 + 1x = -37 + -8x + 8x Combine like terms: -8x + 8x = 0 -42 + 1x = -37 + 0 -42 + 1x = -37 Add '42' to each side of the equation. -42 + 42 + 1x = -37 + 42 Combine like terms: -42 + 42 = 0 0 + 1x = -37 + 42 1x = -37 + 42 Combine like terms: -37 + 42 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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