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Simplifying 0.23x + -1.7 = 0.13x + 1 + -0.8x Reorder the terms: -1.7 + 0.23x = 0.13x + 1 + -0.8x Reorder the terms: -1.7 + 0.23x = 1 + 0.13x + -0.8x Combine like terms: 0.13x + -0.8x = -0.67x -1.7 + 0.23x = 1 + -0.67x Solving -1.7 + 0.23x = 1 + -0.67x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.67x' to each side of the equation. -1.7 + 0.23x + 0.67x = 1 + -0.67x + 0.67x Combine like terms: 0.23x + 0.67x = 0.9x -1.7 + 0.9x = 1 + -0.67x + 0.67x Combine like terms: -0.67x + 0.67x = 0.00 -1.7 + 0.9x = 1 + 0.00 -1.7 + 0.9x = 1 Add '1.7' to each side of the equation. -1.7 + 1.7 + 0.9x = 1 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 0.9x = 1 + 1.7 0.9x = 1 + 1.7 Combine like terms: 1 + 1.7 = 2.7 0.9x = 2.7 Divide each side by '0.9'. x = 3 Simplifying x = 3
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