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