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Simplifying 2(4 + 4x) + -1(5x + 3) = x + 9 (4 * 2 + 4x * 2) + -1(5x + 3) = x + 9 (8 + 8x) + -1(5x + 3) = x + 9 Reorder the terms: 8 + 8x + -1(3 + 5x) = x + 9 8 + 8x + (3 * -1 + 5x * -1) = x + 9 8 + 8x + (-3 + -5x) = x + 9 Reorder the terms: 8 + -3 + 8x + -5x = x + 9 Combine like terms: 8 + -3 = 5 5 + 8x + -5x = x + 9 Combine like terms: 8x + -5x = 3x 5 + 3x = x + 9 Reorder the terms: 5 + 3x = 9 + x Solving 5 + 3x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 3x + -1x = 9 + x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = 9 + x + -1x Combine like terms: x + -1x = 0 5 + 2x = 9 + 0 5 + 2x = 9 Add '-5' to each side of the equation. 5 + -5 + 2x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 9 + -5 2x = 9 + -5 Combine like terms: 9 + -5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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