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Simplifying 3x + -6 + 4 = 4x + 6 + -1 Reorder the terms: -6 + 4 + 3x = 4x + 6 + -1 Combine like terms: -6 + 4 = -2 -2 + 3x = 4x + 6 + -1 Reorder the terms: -2 + 3x = 6 + -1 + 4x Combine like terms: 6 + -1 = 5 -2 + 3x = 5 + 4x Solving -2 + 3x = 5 + 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 = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x -2 + -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -1x = 5 + 0 -2 + -1x = 5 Add '2' to each side of the equation. -2 + 2 + -1x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 5 + 2 -1x = 5 + 2 Combine like terms: 5 + 2 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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