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Simplifying 4(x + -5) + -4(9x + -9) = 14 Reorder the terms: 4(-5 + x) + -4(9x + -9) = 14 (-5 * 4 + x * 4) + -4(9x + -9) = 14 (-20 + 4x) + -4(9x + -9) = 14 Reorder the terms: -20 + 4x + -4(-9 + 9x) = 14 -20 + 4x + (-9 * -4 + 9x * -4) = 14 -20 + 4x + (36 + -36x) = 14 Reorder the terms: -20 + 36 + 4x + -36x = 14 Combine like terms: -20 + 36 = 16 16 + 4x + -36x = 14 Combine like terms: 4x + -36x = -32x 16 + -32x = 14 Solving 16 + -32x = 14 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 + -32x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -32x = 14 + -16 -32x = 14 + -16 Combine like terms: 14 + -16 = -2 -32x = -2 Divide each side by '-32'. x = 0.0625 Simplifying x = 0.0625
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