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Simplifying 0.55 + 1.2(1.2 + 0.2x) = 0.75(x + 0.6) 0.55 + (1.2 * 1.2 + 0.2x * 1.2) = 0.75(x + 0.6) 0.55 + (1.44 + 0.24x) = 0.75(x + 0.6) Combine like terms: 0.55 + 1.44 = 1.99 1.99 + 0.24x = 0.75(x + 0.6) Reorder the terms: 1.99 + 0.24x = 0.75(0.6 + x) 1.99 + 0.24x = (0.6 * 0.75 + x * 0.75) 1.99 + 0.24x = (0.45 + 0.75x) Solving 1.99 + 0.24x = 0.45 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 1.99 + 0.24x + -0.75x = 0.45 + 0.75x + -0.75x Combine like terms: 0.24x + -0.75x = -0.51x 1.99 + -0.51x = 0.45 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 1.99 + -0.51x = 0.45 + 0.00 1.99 + -0.51x = 0.45 Add '-1.99' to each side of the equation. 1.99 + -1.99 + -0.51x = 0.45 + -1.99 Combine like terms: 1.99 + -1.99 = 0.00 0.00 + -0.51x = 0.45 + -1.99 -0.51x = 0.45 + -1.99 Combine like terms: 0.45 + -1.99 = -1.54 -0.51x = -1.54 Divide each side by '-0.51'. x = 3.019607843 Simplifying x = 3.019607843
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