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Simplifying 2 + 0.1(38 + -1x) = 1.3x + -1(0.5x + -2.2) 2 + (38 * 0.1 + -1x * 0.1) = 1.3x + -1(0.5x + -2.2) 2 + (3.8 + -0.1x) = 1.3x + -1(0.5x + -2.2) Combine like terms: 2 + 3.8 = 5.8 5.8 + -0.1x = 1.3x + -1(0.5x + -2.2) Reorder the terms: 5.8 + -0.1x = 1.3x + -1(-2.2 + 0.5x) 5.8 + -0.1x = 1.3x + (-2.2 * -1 + 0.5x * -1) 5.8 + -0.1x = 1.3x + (2.2 + -0.5x) Reorder the terms: 5.8 + -0.1x = 2.2 + 1.3x + -0.5x Combine like terms: 1.3x + -0.5x = 0.8x 5.8 + -0.1x = 2.2 + 0.8x Solving 5.8 + -0.1x = 2.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 5.8 + -0.1x + -0.8x = 2.2 + 0.8x + -0.8x Combine like terms: -0.1x + -0.8x = -0.9x 5.8 + -0.9x = 2.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 5.8 + -0.9x = 2.2 + 0.0 5.8 + -0.9x = 2.2 Add '-5.8' to each side of the equation. 5.8 + -5.8 + -0.9x = 2.2 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + -0.9x = 2.2 + -5.8 -0.9x = 2.2 + -5.8 Combine like terms: 2.2 + -5.8 = -3.6 -0.9x = -3.6 Divide each side by '-0.9'. x = 4 Simplifying x = 4
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