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Simplifying 4 + 2x + -1 = 6x + 7 + -2x Reorder the terms: 4 + -1 + 2x = 6x + 7 + -2x Combine like terms: 4 + -1 = 3 3 + 2x = 6x + 7 + -2x Reorder the terms: 3 + 2x = 7 + 6x + -2x Combine like terms: 6x + -2x = 4x 3 + 2x = 7 + 4x Solving 3 + 2x = 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. 3 + 2x + -4x = 7 + 4x + -4x Combine like terms: 2x + -4x = -2x 3 + -2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -2x = 7 + 0 3 + -2x = 7 Add '-3' to each side of the equation. 3 + -3 + -2x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 7 + -3 -2x = 7 + -3 Combine like terms: 7 + -3 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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