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Simplifying 0.3(4x + -2) = -0.8x + 9.4 Reorder the terms: 0.3(-2 + 4x) = -0.8x + 9.4 (-2 * 0.3 + 4x * 0.3) = -0.8x + 9.4 (-0.6 + 1.2x) = -0.8x + 9.4 Reorder the terms: -0.6 + 1.2x = 9.4 + -0.8x Solving -0.6 + 1.2x = 9.4 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. -0.6 + 1.2x + 0.8x = 9.4 + -0.8x + 0.8x Combine like terms: 1.2x + 0.8x = 2x -0.6 + 2x = 9.4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 -0.6 + 2x = 9.4 + 0.0 -0.6 + 2x = 9.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + 2x = 9.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 2x = 9.4 + 0.6 2x = 9.4 + 0.6 Combine like terms: 9.4 + 0.6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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