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Simplifying 5x + 1 + -7x = 9 + 2x Reorder the terms: 1 + 5x + -7x = 9 + 2x Combine like terms: 5x + -7x = -2x 1 + -2x = 9 + 2x Solving 1 + -2x = 9 + 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. 1 + -2x + -2x = 9 + 2x + -2x Combine like terms: -2x + -2x = -4x 1 + -4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -4x = 9 + 0 1 + -4x = 9 Add '-1' to each side of the equation. 1 + -1 + -4x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 9 + -1 -4x = 9 + -1 Combine like terms: 9 + -1 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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