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Simplifying 3(x + 9) + -4(6x + 5) = -22(x + -1) + -7 Reorder the terms: 3(9 + x) + -4(6x + 5) = -22(x + -1) + -7 (9 * 3 + x * 3) + -4(6x + 5) = -22(x + -1) + -7 (27 + 3x) + -4(6x + 5) = -22(x + -1) + -7 Reorder the terms: 27 + 3x + -4(5 + 6x) = -22(x + -1) + -7 27 + 3x + (5 * -4 + 6x * -4) = -22(x + -1) + -7 27 + 3x + (-20 + -24x) = -22(x + -1) + -7 Reorder the terms: 27 + -20 + 3x + -24x = -22(x + -1) + -7 Combine like terms: 27 + -20 = 7 7 + 3x + -24x = -22(x + -1) + -7 Combine like terms: 3x + -24x = -21x 7 + -21x = -22(x + -1) + -7 Reorder the terms: 7 + -21x = -22(-1 + x) + -7 7 + -21x = (-1 * -22 + x * -22) + -7 7 + -21x = (22 + -22x) + -7 Reorder the terms: 7 + -21x = 22 + -7 + -22x Combine like terms: 22 + -7 = 15 7 + -21x = 15 + -22x Solving 7 + -21x = 15 + -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. 7 + -21x + 22x = 15 + -22x + 22x Combine like terms: -21x + 22x = 1x 7 + 1x = 15 + -22x + 22x Combine like terms: -22x + 22x = 0 7 + 1x = 15 + 0 7 + 1x = 15 Add '-7' to each side of the equation. 7 + -7 + 1x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 15 + -7 1x = 15 + -7 Combine like terms: 15 + -7 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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