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Simplifying 0.6x + -0.4(6 + -3x) = -0.2(x + -8) 0.6x + (6 * -0.4 + -3x * -0.4) = -0.2(x + -8) 0.6x + (-2.4 + 1.2x) = -0.2(x + -8) Reorder the terms: -2.4 + 0.6x + 1.2x = -0.2(x + -8) Combine like terms: 0.6x + 1.2x = 1.8x -2.4 + 1.8x = -0.2(x + -8) Reorder the terms: -2.4 + 1.8x = -0.2(-8 + x) -2.4 + 1.8x = (-8 * -0.2 + x * -0.2) -2.4 + 1.8x = (1.6 + -0.2x) Solving -2.4 + 1.8x = 1.6 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -2.4 + 1.8x + 0.2x = 1.6 + -0.2x + 0.2x Combine like terms: 1.8x + 0.2x = 2x -2.4 + 2x = 1.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -2.4 + 2x = 1.6 + 0.0 -2.4 + 2x = 1.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + 2x = 1.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 2x = 1.6 + 2.4 2x = 1.6 + 2.4 Combine like terms: 1.6 + 2.4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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