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Simplifying 4(x + 9) + -6(9x + -5) = 14 Reorder the terms: 4(9 + x) + -6(9x + -5) = 14 (9 * 4 + x * 4) + -6(9x + -5) = 14 (36 + 4x) + -6(9x + -5) = 14 Reorder the terms: 36 + 4x + -6(-5 + 9x) = 14 36 + 4x + (-5 * -6 + 9x * -6) = 14 36 + 4x + (30 + -54x) = 14 Reorder the terms: 36 + 30 + 4x + -54x = 14 Combine like terms: 36 + 30 = 66 66 + 4x + -54x = 14 Combine like terms: 4x + -54x = -50x 66 + -50x = 14 Solving 66 + -50x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -50x = 14 + -66 Combine like terms: 66 + -66 = 0 0 + -50x = 14 + -66 -50x = 14 + -66 Combine like terms: 14 + -66 = -52 -50x = -52 Divide each side by '-50'. x = 1.04 Simplifying x = 1.04
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