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Simplifying 5x + -6 = 12 + x Reorder the terms: -6 + 5x = 12 + x Solving -6 + 5x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 5x + -1x = 12 + x + -1x Combine like terms: 5x + -1x = 4x -6 + 4x = 12 + x + -1x Combine like terms: x + -1x = 0 -6 + 4x = 12 + 0 -6 + 4x = 12 Add '6' to each side of the equation. -6 + 6 + 4x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 12 + 6 4x = 12 + 6 Combine like terms: 12 + 6 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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