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Simplifying 3x + -5 + -1 = 10 + -1x + 2 Reorder the terms: -5 + -1 + 3x = 10 + -1x + 2 Combine like terms: -5 + -1 = -6 -6 + 3x = 10 + -1x + 2 Reorder the terms: -6 + 3x = 10 + 2 + -1x Combine like terms: 10 + 2 = 12 -6 + 3x = 12 + -1x Solving -6 + 3x = 12 + -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 + 3x + x = 12 + -1x + x Combine like terms: 3x + x = 4x -6 + 4x = 12 + -1x + x Combine like terms: -1x + x = 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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