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Simplifying 5(4x + -1) + 2(16 + -2x) = 5(3x + 4) + -9 Reorder the terms: 5(-1 + 4x) + 2(16 + -2x) = 5(3x + 4) + -9 (-1 * 5 + 4x * 5) + 2(16 + -2x) = 5(3x + 4) + -9 (-5 + 20x) + 2(16 + -2x) = 5(3x + 4) + -9 -5 + 20x + (16 * 2 + -2x * 2) = 5(3x + 4) + -9 -5 + 20x + (32 + -4x) = 5(3x + 4) + -9 Reorder the terms: -5 + 32 + 20x + -4x = 5(3x + 4) + -9 Combine like terms: -5 + 32 = 27 27 + 20x + -4x = 5(3x + 4) + -9 Combine like terms: 20x + -4x = 16x 27 + 16x = 5(3x + 4) + -9 Reorder the terms: 27 + 16x = 5(4 + 3x) + -9 27 + 16x = (4 * 5 + 3x * 5) + -9 27 + 16x = (20 + 15x) + -9 Reorder the terms: 27 + 16x = 20 + -9 + 15x Combine like terms: 20 + -9 = 11 27 + 16x = 11 + 15x Solving 27 + 16x = 11 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + 16x + -15x = 11 + 15x + -15x Combine like terms: 16x + -15x = 1x 27 + 1x = 11 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + 1x = 11 + 0 27 + 1x = 11 Add '-27' to each side of the equation. 27 + -27 + 1x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 11 + -27 1x = 11 + -27 Combine like terms: 11 + -27 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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