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Simplifying 3 + 0.1(25 + -1x) = 1.3x + -1(0.3x + -3.3) 3 + (25 * 0.1 + -1x * 0.1) = 1.3x + -1(0.3x + -3.3) 3 + (2.5 + -0.1x) = 1.3x + -1(0.3x + -3.3) Combine like terms: 3 + 2.5 = 5.5 5.5 + -0.1x = 1.3x + -1(0.3x + -3.3) Reorder the terms: 5.5 + -0.1x = 1.3x + -1(-3.3 + 0.3x) 5.5 + -0.1x = 1.3x + (-3.3 * -1 + 0.3x * -1) 5.5 + -0.1x = 1.3x + (3.3 + -0.3x) Reorder the terms: 5.5 + -0.1x = 3.3 + 1.3x + -0.3x Combine like terms: 1.3x + -0.3x = 1x 5.5 + -0.1x = 3.3 + 1x Solving 5.5 + -0.1x = 3.3 + 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. 5.5 + -0.1x + -1x = 3.3 + 1x + -1x Combine like terms: -0.1x + -1x = -1.1x 5.5 + -1.1x = 3.3 + 1x + -1x Combine like terms: 1x + -1x = 0 5.5 + -1.1x = 3.3 + 0 5.5 + -1.1x = 3.3 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -1.1x = 3.3 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1.1x = 3.3 + -5.5 -1.1x = 3.3 + -5.5 Combine like terms: 3.3 + -5.5 = -2.2 -1.1x = -2.2 Divide each side by '-1.1'. x = 2 Simplifying x = 2
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