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Simplifying -4(x + 3) + 5(x + 6) = 39 Reorder the terms: -4(3 + x) + 5(x + 6) = 39 (3 * -4 + x * -4) + 5(x + 6) = 39 (-12 + -4x) + 5(x + 6) = 39 Reorder the terms: -12 + -4x + 5(6 + x) = 39 -12 + -4x + (6 * 5 + x * 5) = 39 -12 + -4x + (30 + 5x) = 39 Reorder the terms: -12 + 30 + -4x + 5x = 39 Combine like terms: -12 + 30 = 18 18 + -4x + 5x = 39 Combine like terms: -4x + 5x = 1x 18 + 1x = 39 Solving 18 + 1x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1x = 39 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 39 + -18 1x = 39 + -18 Combine like terms: 39 + -18 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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