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Simplifying 6 + 1 + -2x = 5x + x + -7 Combine like terms: 6 + 1 = 7 7 + -2x = 5x + x + -7 Reorder the terms: 7 + -2x = -7 + 5x + x Combine like terms: 5x + x = 6x 7 + -2x = -7 + 6x Solving 7 + -2x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + -2x + -6x = -7 + 6x + -6x Combine like terms: -2x + -6x = -8x 7 + -8x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -8x = -7 + 0 7 + -8x = -7 Add '-7' to each side of the equation. 7 + -7 + -8x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = -7 + -7 -8x = -7 + -7 Combine like terms: -7 + -7 = -14 -8x = -14 Divide each side by '-8'. x = 1.75 Simplifying x = 1.75
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