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Simplifying 5(6x + -1) + -3(3x + -9) = 20x + 16 Reorder the terms: 5(-1 + 6x) + -3(3x + -9) = 20x + 16 (-1 * 5 + 6x * 5) + -3(3x + -9) = 20x + 16 (-5 + 30x) + -3(3x + -9) = 20x + 16 Reorder the terms: -5 + 30x + -3(-9 + 3x) = 20x + 16 -5 + 30x + (-9 * -3 + 3x * -3) = 20x + 16 -5 + 30x + (27 + -9x) = 20x + 16 Reorder the terms: -5 + 27 + 30x + -9x = 20x + 16 Combine like terms: -5 + 27 = 22 22 + 30x + -9x = 20x + 16 Combine like terms: 30x + -9x = 21x 22 + 21x = 20x + 16 Reorder the terms: 22 + 21x = 16 + 20x Solving 22 + 21x = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 22 + 21x + -20x = 16 + 20x + -20x Combine like terms: 21x + -20x = 1x 22 + 1x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 22 + 1x = 16 + 0 22 + 1x = 16 Add '-22' to each side of the equation. 22 + -22 + 1x = 16 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 16 + -22 1x = 16 + -22 Combine like terms: 16 + -22 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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