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Simplifying 2 + 0.1(5 + -1x) = 1.3x + -1(0.4 + -2.5) 2 + (5 * 0.1 + -1x * 0.1) = 1.3x + -1(0.4 + -2.5) 2 + (0.5 + -0.1x) = 1.3x + -1(0.4 + -2.5) Combine like terms: 2 + 0.5 = 2.5 2.5 + -0.1x = 1.3x + -1(0.4 + -2.5) Combine like terms: 0.4 + -2.5 = -2.1 2.5 + -0.1x = 1.3x + -1(-2.1) Multiply -1 * -2.1 2.5 + -0.1x = 1.3x + 2.1 Reorder the terms: 2.5 + -0.1x = 2.1 + 1.3x Solving 2.5 + -0.1x = 2.1 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 2.5 + -0.1x + -1.3x = 2.1 + 1.3x + -1.3x Combine like terms: -0.1x + -1.3x = -1.4x 2.5 + -1.4x = 2.1 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 2.5 + -1.4x = 2.1 + 0.0 2.5 + -1.4x = 2.1 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1.4x = 2.1 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.4x = 2.1 + -2.5 -1.4x = 2.1 + -2.5 Combine like terms: 2.1 + -2.5 = -0.4 -1.4x = -0.4 Divide each side by '-1.4'. x = 0.2857142857 Simplifying x = 0.2857142857
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