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Simplifying 0.6x + -0.2(18 + -4x) = -0.5(x + -8) 0.6x + (18 * -0.2 + -4x * -0.2) = -0.5(x + -8) 0.6x + (-3.6 + 0.8x) = -0.5(x + -8) Reorder the terms: -3.6 + 0.6x + 0.8x = -0.5(x + -8) Combine like terms: 0.6x + 0.8x = 1.4x -3.6 + 1.4x = -0.5(x + -8) Reorder the terms: -3.6 + 1.4x = -0.5(-8 + x) -3.6 + 1.4x = (-8 * -0.5 + x * -0.5) -3.6 + 1.4x = (4 + -0.5x) Solving -3.6 + 1.4x = 4 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -3.6 + 1.4x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 1.4x + 0.5x = 1.9x -3.6 + 1.9x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -3.6 + 1.9x = 4 + 0.0 -3.6 + 1.9x = 4 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1.9x = 4 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1.9x = 4 + 3.6 1.9x = 4 + 3.6 Combine like terms: 4 + 3.6 = 7.6 1.9x = 7.6 Divide each side by '1.9'. x = 4 Simplifying x = 4
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