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Simplifying 4.8 + 0.2(x + -2) = 3.3 + -0.5(2 + -4x) Reorder the terms: 4.8 + 0.2(-2 + x) = 3.3 + -0.5(2 + -4x) 4.8 + (-2 * 0.2 + x * 0.2) = 3.3 + -0.5(2 + -4x) 4.8 + (-0.4 + 0.2x) = 3.3 + -0.5(2 + -4x) Combine like terms: 4.8 + -0.4 = 4.4 4.4 + 0.2x = 3.3 + -0.5(2 + -4x) 4.4 + 0.2x = 3.3 + (2 * -0.5 + -4x * -0.5) 4.4 + 0.2x = 3.3 + (-1 + 2x) Combine like terms: 3.3 + -1 = 2.3 4.4 + 0.2x = 2.3 + 2x Solving 4.4 + 0.2x = 2.3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4.4 + 0.2x + -2x = 2.3 + 2x + -2x Combine like terms: 0.2x + -2x = -1.8x 4.4 + -1.8x = 2.3 + 2x + -2x Combine like terms: 2x + -2x = 0 4.4 + -1.8x = 2.3 + 0 4.4 + -1.8x = 2.3 Add '-4.4' to each side of the equation. 4.4 + -4.4 + -1.8x = 2.3 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + -1.8x = 2.3 + -4.4 -1.8x = 2.3 + -4.4 Combine like terms: 2.3 + -4.4 = -2.1 -1.8x = -2.1 Divide each side by '-1.8'. x = 1.166666667 Simplifying x = 1.166666667
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