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Simplifying 3(7x + -5) + 2(11 + -4x) = 3(4x + 5) + -9 Reorder the terms: 3(-5 + 7x) + 2(11 + -4x) = 3(4x + 5) + -9 (-5 * 3 + 7x * 3) + 2(11 + -4x) = 3(4x + 5) + -9 (-15 + 21x) + 2(11 + -4x) = 3(4x + 5) + -9 -15 + 21x + (11 * 2 + -4x * 2) = 3(4x + 5) + -9 -15 + 21x + (22 + -8x) = 3(4x + 5) + -9 Reorder the terms: -15 + 22 + 21x + -8x = 3(4x + 5) + -9 Combine like terms: -15 + 22 = 7 7 + 21x + -8x = 3(4x + 5) + -9 Combine like terms: 21x + -8x = 13x 7 + 13x = 3(4x + 5) + -9 Reorder the terms: 7 + 13x = 3(5 + 4x) + -9 7 + 13x = (5 * 3 + 4x * 3) + -9 7 + 13x = (15 + 12x) + -9 Reorder the terms: 7 + 13x = 15 + -9 + 12x Combine like terms: 15 + -9 = 6 7 + 13x = 6 + 12x Solving 7 + 13x = 6 + 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. 7 + 13x + -12x = 6 + 12x + -12x Combine like terms: 13x + -12x = 1x 7 + 1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 1x = 6 + 0 7 + 1x = 6 Add '-7' to each side of the equation. 7 + -7 + 1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 6 + -7 1x = 6 + -7 Combine like terms: 6 + -7 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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