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Simplifying 0.4(10x + -50) = 4(9 + -6x) Reorder the terms: 0.4(-50 + 10x) = 4(9 + -6x) (-50 * 0.4 + 10x * 0.4) = 4(9 + -6x) (-20 + 4x) = 4(9 + -6x) -20 + 4x = (9 * 4 + -6x * 4) -20 + 4x = (36 + -24x) Solving -20 + 4x = 36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -20 + 4x + 24x = 36 + -24x + 24x Combine like terms: 4x + 24x = 28x -20 + 28x = 36 + -24x + 24x Combine like terms: -24x + 24x = 0 -20 + 28x = 36 + 0 -20 + 28x = 36 Add '20' to each side of the equation. -20 + 20 + 28x = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 28x = 36 + 20 28x = 36 + 20 Combine like terms: 36 + 20 = 56 28x = 56 Divide each side by '28'. x = 2 Simplifying x = 2
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