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Simplifying 3.8(x + 0.2) = 14x Reorder the terms: 3.8(0.2 + x) = 14x (0.2 * 3.8 + x * 3.8) = 14x (0.76 + 3.8x) = 14x Solving 0.76 + 3.8x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 0.76 + 3.8x + -14x = 14x + -14x Combine like terms: 3.8x + -14x = -10.2x 0.76 + -10.2x = 14x + -14x Combine like terms: 14x + -14x = 0 0.76 + -10.2x = 0 Add '-0.76' to each side of the equation. 0.76 + -0.76 + -10.2x = 0 + -0.76 Combine like terms: 0.76 + -0.76 = 0.00 0.00 + -10.2x = 0 + -0.76 -10.2x = 0 + -0.76 Combine like terms: 0 + -0.76 = -0.76 -10.2x = -0.76 Divide each side by '-10.2'. x = 0.07450980392 Simplifying x = 0.07450980392
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