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Simplifying 5 + -2x + 1 = 12 + -6x + -1 Reorder the terms: 5 + 1 + -2x = 12 + -6x + -1 Combine like terms: 5 + 1 = 6 6 + -2x = 12 + -6x + -1 Reorder the terms: 6 + -2x = 12 + -1 + -6x Combine like terms: 12 + -1 = 11 6 + -2x = 11 + -6x Solving 6 + -2x = 11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + -2x + 6x = 11 + -6x + 6x Combine like terms: -2x + 6x = 4x 6 + 4x = 11 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 4x = 11 + 0 6 + 4x = 11 Add '-6' to each side of the equation. 6 + -6 + 4x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 11 + -6 4x = 11 + -6 Combine like terms: 11 + -6 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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