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Simplifying -3x + -2 = 4x + 7 Reorder the terms: -2 + -3x = 4x + 7 Reorder the terms: -2 + -3x = 7 + 4x Solving -2 + -3x = 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. -2 + -3x + -4x = 7 + 4x + -4x Combine like terms: -3x + -4x = -7x -2 + -7x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -7x = 7 + 0 -2 + -7x = 7 Add '2' to each side of the equation. -2 + 2 + -7x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 7 + 2 -7x = 7 + 2 Combine like terms: 7 + 2 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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