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Simplifying 2.6 = 1.8 + -1(0.2x + -1) Reorder the terms: 2.6 = 1.8 + -1(-1 + 0.2x) 2.6 = 1.8 + (-1 * -1 + 0.2x * -1) 2.6 = 1.8 + (1 + -0.2x) Combine like terms: 1.8 + 1 = 2.8 2.6 = 2.8 + -0.2x Solving 2.6 = 2.8 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 2.6 + 0.2x = 2.8 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 2.6 + 0.2x = 2.8 + 0.0 2.6 + 0.2x = 2.8 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 0.2x = 2.8 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 0.2x = 2.8 + -2.6 0.2x = 2.8 + -2.6 Combine like terms: 2.8 + -2.6 = 0.2 0.2x = 0.2 Divide each side by '0.2'. x = 1 Simplifying x = 1
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