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Simplifying 5(x + 11) + 4(x + -6) = 2(4x + -9) Reorder the terms: 5(11 + x) + 4(x + -6) = 2(4x + -9) (11 * 5 + x * 5) + 4(x + -6) = 2(4x + -9) (55 + 5x) + 4(x + -6) = 2(4x + -9) Reorder the terms: 55 + 5x + 4(-6 + x) = 2(4x + -9) 55 + 5x + (-6 * 4 + x * 4) = 2(4x + -9) 55 + 5x + (-24 + 4x) = 2(4x + -9) Reorder the terms: 55 + -24 + 5x + 4x = 2(4x + -9) Combine like terms: 55 + -24 = 31 31 + 5x + 4x = 2(4x + -9) Combine like terms: 5x + 4x = 9x 31 + 9x = 2(4x + -9) Reorder the terms: 31 + 9x = 2(-9 + 4x) 31 + 9x = (-9 * 2 + 4x * 2) 31 + 9x = (-18 + 8x) Solving 31 + 9x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + 9x + -8x = -18 + 8x + -8x Combine like terms: 9x + -8x = 1x 31 + 1x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + 1x = -18 + 0 31 + 1x = -18 Add '-31' to each side of the equation. 31 + -31 + 1x = -18 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = -18 + -31 1x = -18 + -31 Combine like terms: -18 + -31 = -49 1x = -49 Divide each side by '1'. x = -49 Simplifying x = -49
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