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Simplifying -0.7x + 6.52 = 0.9x + 8.52 Reorder the terms: 6.52 + -0.7x = 0.9x + 8.52 Reorder the terms: 6.52 + -0.7x = 8.52 + 0.9x Solving 6.52 + -0.7x = 8.52 + 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. 6.52 + -0.7x + -0.9x = 8.52 + 0.9x + -0.9x Combine like terms: -0.7x + -0.9x = -1.6x 6.52 + -1.6x = 8.52 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 6.52 + -1.6x = 8.52 + 0.0 6.52 + -1.6x = 8.52 Add '-6.52' to each side of the equation. 6.52 + -6.52 + -1.6x = 8.52 + -6.52 Combine like terms: 6.52 + -6.52 = 0.00 0.00 + -1.6x = 8.52 + -6.52 -1.6x = 8.52 + -6.52 Combine like terms: 8.52 + -6.52 = 2 -1.6x = 2 Divide each side by '-1.6'. x = -1.25 Simplifying x = -1.25
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