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Simplifying 0.55x + 1.2(1.2 + 0.2x) = x + -0.75(x + 0.6) 0.55x + (1.2 * 1.2 + 0.2x * 1.2) = x + -0.75(x + 0.6) 0.55x + (1.44 + 0.24x) = x + -0.75(x + 0.6) Reorder the terms: 1.44 + 0.55x + 0.24x = x + -0.75(x + 0.6) Combine like terms: 0.55x + 0.24x = 0.79x 1.44 + 0.79x = x + -0.75(x + 0.6) Reorder the terms: 1.44 + 0.79x = x + -0.75(0.6 + x) 1.44 + 0.79x = x + (0.6 * -0.75 + x * -0.75) 1.44 + 0.79x = x + (-0.45 + -0.75x) Reorder the terms: 1.44 + 0.79x = -0.45 + x + -0.75x Combine like terms: x + -0.75x = 0.25x 1.44 + 0.79x = -0.45 + 0.25x Solving 1.44 + 0.79x = -0.45 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1.44 + 0.79x + -0.25x = -0.45 + 0.25x + -0.25x Combine like terms: 0.79x + -0.25x = 0.54x 1.44 + 0.54x = -0.45 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1.44 + 0.54x = -0.45 + 0.00 1.44 + 0.54x = -0.45 Add '-1.44' to each side of the equation. 1.44 + -1.44 + 0.54x = -0.45 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + 0.54x = -0.45 + -1.44 0.54x = -0.45 + -1.44 Combine like terms: -0.45 + -1.44 = -1.89 0.54x = -1.89 Divide each side by '0.54'. x = -3.5 Simplifying x = -3.5
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