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Simplifying 3(7x + -1) + -4(2x + -9) = 4(3x + 5) + -9 Reorder the terms: 3(-1 + 7x) + -4(2x + -9) = 4(3x + 5) + -9 (-1 * 3 + 7x * 3) + -4(2x + -9) = 4(3x + 5) + -9 (-3 + 21x) + -4(2x + -9) = 4(3x + 5) + -9 Reorder the terms: -3 + 21x + -4(-9 + 2x) = 4(3x + 5) + -9 -3 + 21x + (-9 * -4 + 2x * -4) = 4(3x + 5) + -9 -3 + 21x + (36 + -8x) = 4(3x + 5) + -9 Reorder the terms: -3 + 36 + 21x + -8x = 4(3x + 5) + -9 Combine like terms: -3 + 36 = 33 33 + 21x + -8x = 4(3x + 5) + -9 Combine like terms: 21x + -8x = 13x 33 + 13x = 4(3x + 5) + -9 Reorder the terms: 33 + 13x = 4(5 + 3x) + -9 33 + 13x = (5 * 4 + 3x * 4) + -9 33 + 13x = (20 + 12x) + -9 Reorder the terms: 33 + 13x = 20 + -9 + 12x Combine like terms: 20 + -9 = 11 33 + 13x = 11 + 12x Solving 33 + 13x = 11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 33 + 13x + -12x = 11 + 12x + -12x Combine like terms: 13x + -12x = 1x 33 + 1x = 11 + 12x + -12x Combine like terms: 12x + -12x = 0 33 + 1x = 11 + 0 33 + 1x = 11 Add '-33' to each side of the equation. 33 + -33 + 1x = 11 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 11 + -33 1x = 11 + -33 Combine like terms: 11 + -33 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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