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