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Simplifying 0.4 + 0.3(2x + -8) = 0.8x Reorder the terms: 0.4 + 0.3(-8 + 2x) = 0.8x 0.4 + (-8 * 0.3 + 2x * 0.3) = 0.8x 0.4 + (-2.4 + 0.6x) = 0.8x Combine like terms: 0.4 + -2.4 = -2 -2 + 0.6x = 0.8x Solving -2 + 0.6x = 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. -2 + 0.6x + -0.8x = 0.8x + -0.8x Combine like terms: 0.6x + -0.8x = -0.2x -2 + -0.2x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -2 + -0.2x = 0.0 Add '2' to each side of the equation. -2 + 2 + -0.2x = 0.0 + 2 Combine like terms: -2 + 2 = 0 0 + -0.2x = 0.0 + 2 -0.2x = 0.0 + 2 Combine like terms: 0.0 + 2 = 2 -0.2x = 2 Divide each side by '-0.2'. x = -10 Simplifying x = -10
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