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Simplifying 0.5x + 3.14x = 6 + -3(0.2 + x) Combine like terms: 0.5x + 3.14x = 3.64x 3.64x = 6 + -3(0.2 + x) 3.64x = 6 + (0.2 * -3 + x * -3) 3.64x = 6 + (-0.6 + -3x) Combine like terms: 6 + -0.6 = 5.4 3.64x = 5.4 + -3x Solving 3.64x = 5.4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3.64x + 3x = 5.4 + -3x + 3x Combine like terms: 3.64x + 3x = 6.64x 6.64x = 5.4 + -3x + 3x Combine like terms: -3x + 3x = 0 6.64x = 5.4 + 0 6.64x = 5.4 Divide each side by '6.64'. x = 0.813253012 Simplifying x = 0.813253012
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