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Simplifying 4(2x + 11) = 2(x + -13) Reorder the terms: 4(11 + 2x) = 2(x + -13) (11 * 4 + 2x * 4) = 2(x + -13) (44 + 8x) = 2(x + -13) Reorder the terms: 44 + 8x = 2(-13 + x) 44 + 8x = (-13 * 2 + x * 2) 44 + 8x = (-26 + 2x) Solving 44 + 8x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 44 + 8x + -2x = -26 + 2x + -2x Combine like terms: 8x + -2x = 6x 44 + 6x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 44 + 6x = -26 + 0 44 + 6x = -26 Add '-44' to each side of the equation. 44 + -44 + 6x = -26 + -44 Combine like terms: 44 + -44 = 0 0 + 6x = -26 + -44 6x = -26 + -44 Combine like terms: -26 + -44 = -70 6x = -70 Divide each side by '6'. x = -11.66666667 Simplifying x = -11.66666667
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