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Simplifying 6x + 5 + -2x = 6 + 3x + -7 Reorder the terms: 5 + 6x + -2x = 6 + 3x + -7 Combine like terms: 6x + -2x = 4x 5 + 4x = 6 + 3x + -7 Reorder the terms: 5 + 4x = 6 + -7 + 3x Combine like terms: 6 + -7 = -1 5 + 4x = -1 + 3x Solving 5 + 4x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 4x + -3x = -1 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = -1 + 0 5 + 1x = -1 Add '-5' to each side of the equation. 5 + -5 + 1x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -1 + -5 1x = -1 + -5 Combine like terms: -1 + -5 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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