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