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Simplifying 9x + 1 + -7x + 5 = 7x + 8 + -1x + 1 Reorder the terms: 1 + 5 + 9x + -7x = 7x + 8 + -1x + 1 Combine like terms: 1 + 5 = 6 6 + 9x + -7x = 7x + 8 + -1x + 1 Combine like terms: 9x + -7x = 2x 6 + 2x = 7x + 8 + -1x + 1 Reorder the terms: 6 + 2x = 8 + 1 + 7x + -1x Combine like terms: 8 + 1 = 9 6 + 2x = 9 + 7x + -1x Combine like terms: 7x + -1x = 6x 6 + 2x = 9 + 6x Solving 6 + 2x = 9 + 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. 6 + 2x + -6x = 9 + 6x + -6x Combine like terms: 2x + -6x = -4x 6 + -4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -4x = 9 + 0 6 + -4x = 9 Add '-6' to each side of the equation. 6 + -6 + -4x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 9 + -6 -4x = 9 + -6 Combine like terms: 9 + -6 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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