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Simplifying 3 + 0.1(5 + -1x) = 1.4x + -1(0.4 + -3.5) 3 + (5 * 0.1 + -1x * 0.1) = 1.4x + -1(0.4 + -3.5) 3 + (0.5 + -0.1x) = 1.4x + -1(0.4 + -3.5) Combine like terms: 3 + 0.5 = 3.5 3.5 + -0.1x = 1.4x + -1(0.4 + -3.5) Combine like terms: 0.4 + -3.5 = -3.1 3.5 + -0.1x = 1.4x + -1(-3.1) Multiply -1 * -3.1 3.5 + -0.1x = 1.4x + 3.1 Reorder the terms: 3.5 + -0.1x = 3.1 + 1.4x Solving 3.5 + -0.1x = 3.1 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 3.5 + -0.1x + -1.4x = 3.1 + 1.4x + -1.4x Combine like terms: -0.1x + -1.4x = -1.5x 3.5 + -1.5x = 3.1 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 3.5 + -1.5x = 3.1 + 0.0 3.5 + -1.5x = 3.1 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1.5x = 3.1 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.5x = 3.1 + -3.5 -1.5x = 3.1 + -3.5 Combine like terms: 3.1 + -3.5 = -0.4 -1.5x = -0.4 Divide each side by '-1.5'. x = 0.2666666667 Simplifying x = 0.2666666667
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