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Simplifying -6(x + -9) + -5(3x + 4) = -22(x + -1) + -2 Reorder the terms: -6(-9 + x) + -5(3x + 4) = -22(x + -1) + -2 (-9 * -6 + x * -6) + -5(3x + 4) = -22(x + -1) + -2 (54 + -6x) + -5(3x + 4) = -22(x + -1) + -2 Reorder the terms: 54 + -6x + -5(4 + 3x) = -22(x + -1) + -2 54 + -6x + (4 * -5 + 3x * -5) = -22(x + -1) + -2 54 + -6x + (-20 + -15x) = -22(x + -1) + -2 Reorder the terms: 54 + -20 + -6x + -15x = -22(x + -1) + -2 Combine like terms: 54 + -20 = 34 34 + -6x + -15x = -22(x + -1) + -2 Combine like terms: -6x + -15x = -21x 34 + -21x = -22(x + -1) + -2 Reorder the terms: 34 + -21x = -22(-1 + x) + -2 34 + -21x = (-1 * -22 + x * -22) + -2 34 + -21x = (22 + -22x) + -2 Reorder the terms: 34 + -21x = 22 + -2 + -22x Combine like terms: 22 + -2 = 20 34 + -21x = 20 + -22x Solving 34 + -21x = 20 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 34 + -21x + 22x = 20 + -22x + 22x Combine like terms: -21x + 22x = 1x 34 + 1x = 20 + -22x + 22x Combine like terms: -22x + 22x = 0 34 + 1x = 20 + 0 34 + 1x = 20 Add '-34' to each side of the equation. 34 + -34 + 1x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 20 + -34 1x = 20 + -34 Combine like terms: 20 + -34 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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