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Simplifying -0.7x + 7.75 = -0.9x + 6.75 Reorder the terms: 7.75 + -0.7x = -0.9x + 6.75 Reorder the terms: 7.75 + -0.7x = 6.75 + -0.9x Solving 7.75 + -0.7x = 6.75 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 7.75 + -0.7x + 0.9x = 6.75 + -0.9x + 0.9x Combine like terms: -0.7x + 0.9x = 0.2x 7.75 + 0.2x = 6.75 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 7.75 + 0.2x = 6.75 + 0.0 7.75 + 0.2x = 6.75 Add '-7.75' to each side of the equation. 7.75 + -7.75 + 0.2x = 6.75 + -7.75 Combine like terms: 7.75 + -7.75 = 0.00 0.00 + 0.2x = 6.75 + -7.75 0.2x = 6.75 + -7.75 Combine like terms: 6.75 + -7.75 = -1 0.2x = -1 Divide each side by '0.2'. x = -5 Simplifying x = -5
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