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Simplifying 7 + -2(3x + -4) = 5 + 11(6 + 2x) Reorder the terms: 7 + -2(-4 + 3x) = 5 + 11(6 + 2x) 7 + (-4 * -2 + 3x * -2) = 5 + 11(6 + 2x) 7 + (8 + -6x) = 5 + 11(6 + 2x) Combine like terms: 7 + 8 = 15 15 + -6x = 5 + 11(6 + 2x) 15 + -6x = 5 + (6 * 11 + 2x * 11) 15 + -6x = 5 + (66 + 22x) Combine like terms: 5 + 66 = 71 15 + -6x = 71 + 22x Solving 15 + -6x = 71 + 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. 15 + -6x + -22x = 71 + 22x + -22x Combine like terms: -6x + -22x = -28x 15 + -28x = 71 + 22x + -22x Combine like terms: 22x + -22x = 0 15 + -28x = 71 + 0 15 + -28x = 71 Add '-15' to each side of the equation. 15 + -15 + -28x = 71 + -15 Combine like terms: 15 + -15 = 0 0 + -28x = 71 + -15 -28x = 71 + -15 Combine like terms: 71 + -15 = 56 -28x = 56 Divide each side by '-28'. x = -2 Simplifying x = -2
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