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Simplifying 4x + 6 = -1x + 51 Reorder the terms: 6 + 4x = -1x + 51 Reorder the terms: 6 + 4x = 51 + -1x Solving 6 + 4x = 51 + -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 = 51 + -1x + x Combine like terms: 4x + x = 5x 6 + 5x = 51 + -1x + x Combine like terms: -1x + x = 0 6 + 5x = 51 + 0 6 + 5x = 51 Add '-6' to each side of the equation. 6 + -6 + 5x = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 51 + -6 5x = 51 + -6 Combine like terms: 51 + -6 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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