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Simplifying 5(4 + x) = 2(6x + -11) (4 * 5 + x * 5) = 2(6x + -11) (20 + 5x) = 2(6x + -11) Reorder the terms: 20 + 5x = 2(-11 + 6x) 20 + 5x = (-11 * 2 + 6x * 2) 20 + 5x = (-22 + 12x) Solving 20 + 5x = -22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 5x + -12x = -22 + 12x + -12x Combine like terms: 5x + -12x = -7x 20 + -7x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -7x = -22 + 0 20 + -7x = -22 Add '-20' to each side of the equation. 20 + -20 + -7x = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -22 + -20 -7x = -22 + -20 Combine like terms: -22 + -20 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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