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Simplifying 5x + 2 = 6x + -6 + x Reorder the terms: 2 + 5x = 6x + -6 + x Reorder the terms: 2 + 5x = -6 + 6x + x Combine like terms: 6x + x = 7x 2 + 5x = -6 + 7x Solving 2 + 5x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 5x + -7x = -6 + 7x + -7x Combine like terms: 5x + -7x = -2x 2 + -2x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -2x = -6 + 0 2 + -2x = -6 Add '-2' to each side of the equation. 2 + -2 + -2x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -6 + -2 -2x = -6 + -2 Combine like terms: -6 + -2 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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