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Simplifying 4.8x + 0.2(x + -2) = 3.3 + -0.5(2 + -4x) Reorder the terms: 4.8x + 0.2(-2 + x) = 3.3 + -0.5(2 + -4x) 4.8x + (-2 * 0.2 + x * 0.2) = 3.3 + -0.5(2 + -4x) 4.8x + (-0.4 + 0.2x) = 3.3 + -0.5(2 + -4x) Reorder the terms: -0.4 + 4.8x + 0.2x = 3.3 + -0.5(2 + -4x) Combine like terms: 4.8x + 0.2x = 5x -0.4 + 5x = 3.3 + -0.5(2 + -4x) -0.4 + 5x = 3.3 + (2 * -0.5 + -4x * -0.5) -0.4 + 5x = 3.3 + (-1 + 2x) Combine like terms: 3.3 + -1 = 2.3 -0.4 + 5x = 2.3 + 2x Solving -0.4 + 5x = 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. -0.4 + 5x + -2x = 2.3 + 2x + -2x Combine like terms: 5x + -2x = 3x -0.4 + 3x = 2.3 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.4 + 3x = 2.3 + 0 -0.4 + 3x = 2.3 Add '0.4' to each side of the equation. -0.4 + 0.4 + 3x = 2.3 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 3x = 2.3 + 0.4 3x = 2.3 + 0.4 Combine like terms: 2.3 + 0.4 = 2.7 3x = 2.7 Divide each side by '3'. x = 0.9 Simplifying x = 0.9
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