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Simplifying 3x + -7 = 2x + 3 + 4x + -5 Reorder the terms: -7 + 3x = 2x + 3 + 4x + -5 Reorder the terms: -7 + 3x = 3 + -5 + 2x + 4x Combine like terms: 3 + -5 = -2 -7 + 3x = -2 + 2x + 4x Combine like terms: 2x + 4x = 6x -7 + 3x = -2 + 6x Solving -7 + 3x = -2 + 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. -7 + 3x + -6x = -2 + 6x + -6x Combine like terms: 3x + -6x = -3x -7 + -3x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -3x = -2 + 0 -7 + -3x = -2 Add '7' to each side of the equation. -7 + 7 + -3x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -2 + 7 -3x = -2 + 7 Combine like terms: -2 + 7 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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