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Simplifying 0.23x + -0.4 = 0.13x + 1 + -0.6x Reorder the terms: -0.4 + 0.23x = 0.13x + 1 + -0.6x Reorder the terms: -0.4 + 0.23x = 1 + 0.13x + -0.6x Combine like terms: 0.13x + -0.6x = -0.47x -0.4 + 0.23x = 1 + -0.47x Solving -0.4 + 0.23x = 1 + -0.47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.47x' to each side of the equation. -0.4 + 0.23x + 0.47x = 1 + -0.47x + 0.47x Combine like terms: 0.23x + 0.47x = 0.7x -0.4 + 0.7x = 1 + -0.47x + 0.47x Combine like terms: -0.47x + 0.47x = 0.00 -0.4 + 0.7x = 1 + 0.00 -0.4 + 0.7x = 1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.7x = 1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.7x = 1 + 0.4 0.7x = 1 + 0.4 Combine like terms: 1 + 0.4 = 1.4 0.7x = 1.4 Divide each side by '0.7'. x = 2 Simplifying x = 2
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