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Simplifying 0.9x + -0.2(18 + -2x) = -0.4(x + -8) 0.9x + (18 * -0.2 + -2x * -0.2) = -0.4(x + -8) 0.9x + (-3.6 + 0.4x) = -0.4(x + -8) Reorder the terms: -3.6 + 0.9x + 0.4x = -0.4(x + -8) Combine like terms: 0.9x + 0.4x = 1.3x -3.6 + 1.3x = -0.4(x + -8) Reorder the terms: -3.6 + 1.3x = -0.4(-8 + x) -3.6 + 1.3x = (-8 * -0.4 + x * -0.4) -3.6 + 1.3x = (3.2 + -0.4x) Solving -3.6 + 1.3x = 3.2 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -3.6 + 1.3x + 0.4x = 3.2 + -0.4x + 0.4x Combine like terms: 1.3x + 0.4x = 1.7x -3.6 + 1.7x = 3.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -3.6 + 1.7x = 3.2 + 0.0 -3.6 + 1.7x = 3.2 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1.7x = 3.2 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1.7x = 3.2 + 3.6 1.7x = 3.2 + 3.6 Combine like terms: 3.2 + 3.6 = 6.8 1.7x = 6.8 Divide each side by '1.7'. x = 4 Simplifying x = 4
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