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Simplifying -1x + 6 + -4x = 2x + 24 Reorder the terms: 6 + -1x + -4x = 2x + 24 Combine like terms: -1x + -4x = -5x 6 + -5x = 2x + 24 Reorder the terms: 6 + -5x = 24 + 2x Solving 6 + -5x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -5x + -2x = 24 + 2x + -2x Combine like terms: -5x + -2x = -7x 6 + -7x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -7x = 24 + 0 6 + -7x = 24 Add '-6' to each side of the equation. 6 + -6 + -7x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 24 + -6 -7x = 24 + -6 Combine like terms: 24 + -6 = 18 -7x = 18 Divide each side by '-7'. x = -2.571428571 Simplifying x = -2.571428571
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