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Simplifying 3x + -4x + 7 = 5x + -6 Reorder the terms: 7 + 3x + -4x = 5x + -6 Combine like terms: 3x + -4x = -1x 7 + -1x = 5x + -6 Reorder the terms: 7 + -1x = -6 + 5x Solving 7 + -1x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -1x + -5x = -6 + 5x + -5x Combine like terms: -1x + -5x = -6x 7 + -6x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -6x = -6 + 0 7 + -6x = -6 Add '-7' to each side of the equation. 7 + -7 + -6x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -6 + -7 -6x = -6 + -7 Combine like terms: -6 + -7 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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