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Simplifying 5 + -1x + 2 = 3x + -7 Reorder the terms: 5 + 2 + -1x = 3x + -7 Combine like terms: 5 + 2 = 7 7 + -1x = 3x + -7 Reorder the terms: 7 + -1x = -7 + 3x Solving 7 + -1x = -7 + 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 = -7 + 3x + -3x Combine like terms: -1x + -3x = -4x 7 + -4x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -4x = -7 + 0 7 + -4x = -7 Add '-7' to each side of the equation. 7 + -7 + -4x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -7 + -7 -4x = -7 + -7 Combine like terms: -7 + -7 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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