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Simplifying 3x + 7 + -2x + -6 = 4x + -7 Reorder the terms: 7 + -6 + 3x + -2x = 4x + -7 Combine like terms: 7 + -6 = 1 1 + 3x + -2x = 4x + -7 Combine like terms: 3x + -2x = 1x 1 + 1x = 4x + -7 Reorder the terms: 1 + 1x = -7 + 4x Solving 1 + 1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 1x + -4x = -7 + 4x + -4x Combine like terms: 1x + -4x = -3x 1 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -3x = -7 + 0 1 + -3x = -7 Add '-1' to each side of the equation. 1 + -1 + -3x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -7 + -1 -3x = -7 + -1 Combine like terms: -7 + -1 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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