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Simplifying 2(7x + 3) + -1(4x + 5) = 8x + -9 Reorder the terms: 2(3 + 7x) + -1(4x + 5) = 8x + -9 (3 * 2 + 7x * 2) + -1(4x + 5) = 8x + -9 (6 + 14x) + -1(4x + 5) = 8x + -9 Reorder the terms: 6 + 14x + -1(5 + 4x) = 8x + -9 6 + 14x + (5 * -1 + 4x * -1) = 8x + -9 6 + 14x + (-5 + -4x) = 8x + -9 Reorder the terms: 6 + -5 + 14x + -4x = 8x + -9 Combine like terms: 6 + -5 = 1 1 + 14x + -4x = 8x + -9 Combine like terms: 14x + -4x = 10x 1 + 10x = 8x + -9 Reorder the terms: 1 + 10x = -9 + 8x Solving 1 + 10x = -9 + 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. 1 + 10x + -8x = -9 + 8x + -8x Combine like terms: 10x + -8x = 2x 1 + 2x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + 2x = -9 + 0 1 + 2x = -9 Add '-1' to each side of the equation. 1 + -1 + 2x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -9 + -1 2x = -9 + -1 Combine like terms: -9 + -1 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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