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Simplifying -1(3x + 6) + 4(x + 5) = 15 Reorder the terms: -1(6 + 3x) + 4(x + 5) = 15 (6 * -1 + 3x * -1) + 4(x + 5) = 15 (-6 + -3x) + 4(x + 5) = 15 Reorder the terms: -6 + -3x + 4(5 + x) = 15 -6 + -3x + (5 * 4 + x * 4) = 15 -6 + -3x + (20 + 4x) = 15 Reorder the terms: -6 + 20 + -3x + 4x = 15 Combine like terms: -6 + 20 = 14 14 + -3x + 4x = 15 Combine like terms: -3x + 4x = 1x 14 + 1x = 15 Solving 14 + 1x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 15 + -14 1x = 15 + -14 Combine like terms: 15 + -14 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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