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Simplifying -1x + 5x + 6 = 8x + 36 Reorder the terms: 6 + -1x + 5x = 8x + 36 Combine like terms: -1x + 5x = 4x 6 + 4x = 8x + 36 Reorder the terms: 6 + 4x = 36 + 8x Solving 6 + 4x = 36 + 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. 6 + 4x + -8x = 36 + 8x + -8x Combine like terms: 4x + -8x = -4x 6 + -4x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -4x = 36 + 0 6 + -4x = 36 Add '-6' to each side of the equation. 6 + -6 + -4x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 36 + -6 -4x = 36 + -6 Combine like terms: 36 + -6 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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