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Simplifying 3 + 0.1(38 + -1x) = 1.8x + -1(0.4x + -3.8) 3 + (38 * 0.1 + -1x * 0.1) = 1.8x + -1(0.4x + -3.8) 3 + (3.8 + -0.1x) = 1.8x + -1(0.4x + -3.8) Combine like terms: 3 + 3.8 = 6.8 6.8 + -0.1x = 1.8x + -1(0.4x + -3.8) Reorder the terms: 6.8 + -0.1x = 1.8x + -1(-3.8 + 0.4x) 6.8 + -0.1x = 1.8x + (-3.8 * -1 + 0.4x * -1) 6.8 + -0.1x = 1.8x + (3.8 + -0.4x) Reorder the terms: 6.8 + -0.1x = 3.8 + 1.8x + -0.4x Combine like terms: 1.8x + -0.4x = 1.4x 6.8 + -0.1x = 3.8 + 1.4x Solving 6.8 + -0.1x = 3.8 + 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. 6.8 + -0.1x + -1.4x = 3.8 + 1.4x + -1.4x Combine like terms: -0.1x + -1.4x = -1.5x 6.8 + -1.5x = 3.8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 6.8 + -1.5x = 3.8 + 0.0 6.8 + -1.5x = 3.8 Add '-6.8' to each side of the equation. 6.8 + -6.8 + -1.5x = 3.8 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + -1.5x = 3.8 + -6.8 -1.5x = 3.8 + -6.8 Combine like terms: 3.8 + -6.8 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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