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Simplifying 0.3 + -0.4(8 + -2x) = -0.6(x + -6) 0.3 + (8 * -0.4 + -2x * -0.4) = -0.6(x + -6) 0.3 + (-3.2 + 0.8x) = -0.6(x + -6) Combine like terms: 0.3 + -3.2 = -2.9 -2.9 + 0.8x = -0.6(x + -6) Reorder the terms: -2.9 + 0.8x = -0.6(-6 + x) -2.9 + 0.8x = (-6 * -0.6 + x * -0.6) -2.9 + 0.8x = (3.6 + -0.6x) Solving -2.9 + 0.8x = 3.6 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -2.9 + 0.8x + 0.6x = 3.6 + -0.6x + 0.6x Combine like terms: 0.8x + 0.6x = 1.4x -2.9 + 1.4x = 3.6 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -2.9 + 1.4x = 3.6 + 0.0 -2.9 + 1.4x = 3.6 Add '2.9' to each side of the equation. -2.9 + 2.9 + 1.4x = 3.6 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 1.4x = 3.6 + 2.9 1.4x = 3.6 + 2.9 Combine like terms: 3.6 + 2.9 = 6.5 1.4x = 6.5 Divide each side by '1.4'. x = 4.642857143 Simplifying x = 4.642857143
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