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Simplifying 4(x + 5) = -2(4x + 11) Reorder the terms: 4(5 + x) = -2(4x + 11) (5 * 4 + x * 4) = -2(4x + 11) (20 + 4x) = -2(4x + 11) Reorder the terms: 20 + 4x = -2(11 + 4x) 20 + 4x = (11 * -2 + 4x * -2) 20 + 4x = (-22 + -8x) Solving 20 + 4x = -22 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 20 + 4x + 8x = -22 + -8x + 8x Combine like terms: 4x + 8x = 12x 20 + 12x = -22 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 12x = -22 + 0 20 + 12x = -22 Add '-20' to each side of the equation. 20 + -20 + 12x = -22 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = -22 + -20 12x = -22 + -20 Combine like terms: -22 + -20 = -42 12x = -42 Divide each side by '12'. x = -3.5 Simplifying x = -3.5
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