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Simplifying 2 + 0.1(40 + -1x) = 1.4x + -1(0.4x + -2.7) 2 + (40 * 0.1 + -1x * 0.1) = 1.4x + -1(0.4x + -2.7) 2 + (4 + -0.1x) = 1.4x + -1(0.4x + -2.7) Combine like terms: 2 + 4 = 6 6 + -0.1x = 1.4x + -1(0.4x + -2.7) Reorder the terms: 6 + -0.1x = 1.4x + -1(-2.7 + 0.4x) 6 + -0.1x = 1.4x + (-2.7 * -1 + 0.4x * -1) 6 + -0.1x = 1.4x + (2.7 + -0.4x) Reorder the terms: 6 + -0.1x = 2.7 + 1.4x + -0.4x Combine like terms: 1.4x + -0.4x = 1x 6 + -0.1x = 2.7 + 1x Solving 6 + -0.1x = 2.7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + -0.1x + -1x = 2.7 + 1x + -1x Combine like terms: -0.1x + -1x = -1.1x 6 + -1.1x = 2.7 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -1.1x = 2.7 + 0 6 + -1.1x = 2.7 Add '-6' to each side of the equation. 6 + -6 + -1.1x = 2.7 + -6 Combine like terms: 6 + -6 = 0 0 + -1.1x = 2.7 + -6 -1.1x = 2.7 + -6 Combine like terms: 2.7 + -6 = -3.3 -1.1x = -3.3 Divide each side by '-1.1'. x = 3 Simplifying x = 3
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