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Simplifying 6.6x + -0.7 = 0.7x + 46.5 Reorder the terms: -0.7 + 6.6x = 0.7x + 46.5 Reorder the terms: -0.7 + 6.6x = 46.5 + 0.7x Solving -0.7 + 6.6x = 46.5 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -0.7 + 6.6x + -0.7x = 46.5 + 0.7x + -0.7x Combine like terms: 6.6x + -0.7x = 5.9x -0.7 + 5.9x = 46.5 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.7 + 5.9x = 46.5 + 0.0 -0.7 + 5.9x = 46.5 Add '0.7' to each side of the equation. -0.7 + 0.7 + 5.9x = 46.5 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 5.9x = 46.5 + 0.7 5.9x = 46.5 + 0.7 Combine like terms: 46.5 + 0.7 = 47.2 5.9x = 47.2 Divide each side by '5.9'. x = 8 Simplifying x = 8
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