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Simplifying 0.6x + -0.4(40 + x) = -0.05(40) 0.6x + (40 * -0.4 + x * -0.4) = -0.05(40) 0.6x + (-16 + -0.4x) = -0.05(40) Reorder the terms: -16 + 0.6x + -0.4x = -0.05(40) Combine like terms: 0.6x + -0.4x = 0.2x -16 + 0.2x = -0.05(40) Multiply -0.05 * 40 -16 + 0.2x = -2 Solving -16 + 0.2x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 0.2x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 0.2x = -2 + 16 0.2x = -2 + 16 Combine like terms: -2 + 16 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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