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Simplifying -0.7x + 7.85 = 0.9x + 1.45 Reorder the terms: 7.85 + -0.7x = 0.9x + 1.45 Reorder the terms: 7.85 + -0.7x = 1.45 + 0.9x Solving 7.85 + -0.7x = 1.45 + 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. 7.85 + -0.7x + -0.9x = 1.45 + 0.9x + -0.9x Combine like terms: -0.7x + -0.9x = -1.6x 7.85 + -1.6x = 1.45 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 7.85 + -1.6x = 1.45 + 0.0 7.85 + -1.6x = 1.45 Add '-7.85' to each side of the equation. 7.85 + -7.85 + -1.6x = 1.45 + -7.85 Combine like terms: 7.85 + -7.85 = 0.00 0.00 + -1.6x = 1.45 + -7.85 -1.6x = 1.45 + -7.85 Combine like terms: 1.45 + -7.85 = -6.4 -1.6x = -6.4 Divide each side by '-1.6'. x = 4 Simplifying x = 4
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