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Simplifying x + 2 + 5x = -2x + 7 Reorder the terms: 2 + x + 5x = -2x + 7 Combine like terms: x + 5x = 6x 2 + 6x = -2x + 7 Reorder the terms: 2 + 6x = 7 + -2x Solving 2 + 6x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 6x + 2x = 7 + -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = 7 + 0 2 + 8x = 7 Add '-2' to each side of the equation. 2 + -2 + 8x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 7 + -2 8x = 7 + -2 Combine like terms: 7 + -2 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625
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