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Simplifying -0.7x + 4.61 = -0.9x + 6.61 Reorder the terms: 4.61 + -0.7x = -0.9x + 6.61 Reorder the terms: 4.61 + -0.7x = 6.61 + -0.9x Solving 4.61 + -0.7x = 6.61 + -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. 4.61 + -0.7x + 0.9x = 6.61 + -0.9x + 0.9x Combine like terms: -0.7x + 0.9x = 0.2x 4.61 + 0.2x = 6.61 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 4.61 + 0.2x = 6.61 + 0.0 4.61 + 0.2x = 6.61 Add '-4.61' to each side of the equation. 4.61 + -4.61 + 0.2x = 6.61 + -4.61 Combine like terms: 4.61 + -4.61 = 0.00 0.00 + 0.2x = 6.61 + -4.61 0.2x = 6.61 + -4.61 Combine like terms: 6.61 + -4.61 = 2 0.2x = 2 Divide each side by '0.2'. x = 10 Simplifying x = 10
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