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Simplifying 5(2x + 4) + -12x = -22 Reorder the terms: 5(4 + 2x) + -12x = -22 (4 * 5 + 2x * 5) + -12x = -22 (20 + 10x) + -12x = -22 Combine like terms: 10x + -12x = -2x 20 + -2x = -22 Solving 20 + -2x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -2x = -22 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -22 + -20 -2x = -22 + -20 Combine like terms: -22 + -20 = -42 -2x = -42 Divide each side by '-2'. x = 21 Simplifying x = 21
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