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Simplifying 6 + -1x + 1 = 3x + -6 Reorder the terms: 6 + 1 + -1x = 3x + -6 Combine like terms: 6 + 1 = 7 7 + -1x = 3x + -6 Reorder the terms: 7 + -1x = -6 + 3x Solving 7 + -1x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -1x + -3x = -6 + 3x + -3x Combine like terms: -1x + -3x = -4x 7 + -4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -4x = -6 + 0 7 + -4x = -6 Add '-7' to each side of the equation. 7 + -7 + -4x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -6 + -7 -4x = -6 + -7 Combine like terms: -6 + -7 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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