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Simplifying 0.9x + -0.4(10 + -4) = -0.5(x + -4) Combine like terms: 10 + -4 = 6 0.9x + -0.4(6) = -0.5(x + -4) Multiply -0.4 * 6 0.9x + -2.4 = -0.5(x + -4) Reorder the terms: -2.4 + 0.9x = -0.5(x + -4) Reorder the terms: -2.4 + 0.9x = -0.5(-4 + x) -2.4 + 0.9x = (-4 * -0.5 + x * -0.5) -2.4 + 0.9x = (2 + -0.5x) Solving -2.4 + 0.9x = 2 + -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. -2.4 + 0.9x + 0.5x = 2 + -0.5x + 0.5x Combine like terms: 0.9x + 0.5x = 1.4x -2.4 + 1.4x = 2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -2.4 + 1.4x = 2 + 0.0 -2.4 + 1.4x = 2 Add '2.4' to each side of the equation. -2.4 + 2.4 + 1.4x = 2 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1.4x = 2 + 2.4 1.4x = 2 + 2.4 Combine like terms: 2 + 2.4 = 4.4 1.4x = 4.4 Divide each side by '1.4'. x = 3.142857143 Simplifying x = 3.142857143
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