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Simplifying 2 + 0.1(40 + -1x) = 1.3x + -1(0.2 + -2.4) 2 + (40 * 0.1 + -1x * 0.1) = 1.3x + -1(0.2 + -2.4) 2 + (4 + -0.1x) = 1.3x + -1(0.2 + -2.4) Combine like terms: 2 + 4 = 6 6 + -0.1x = 1.3x + -1(0.2 + -2.4) Combine like terms: 0.2 + -2.4 = -2.2 6 + -0.1x = 1.3x + -1(-2.2) Multiply -1 * -2.2 6 + -0.1x = 1.3x + 2.2 Reorder the terms: 6 + -0.1x = 2.2 + 1.3x Solving 6 + -0.1x = 2.2 + 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. 6 + -0.1x + -1.3x = 2.2 + 1.3x + -1.3x Combine like terms: -0.1x + -1.3x = -1.4x 6 + -1.4x = 2.2 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 6 + -1.4x = 2.2 + 0.0 6 + -1.4x = 2.2 Add '-6' to each side of the equation. 6 + -6 + -1.4x = 2.2 + -6 Combine like terms: 6 + -6 = 0 0 + -1.4x = 2.2 + -6 -1.4x = 2.2 + -6 Combine like terms: 2.2 + -6 = -3.8 -1.4x = -3.8 Divide each side by '-1.4'. x = 2.714285714 Simplifying x = 2.714285714
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