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Simplifying 5(x + 4) + 2x = -2(x + 3) Reorder the terms: 5(4 + x) + 2x = -2(x + 3) (4 * 5 + x * 5) + 2x = -2(x + 3) (20 + 5x) + 2x = -2(x + 3) Combine like terms: 5x + 2x = 7x 20 + 7x = -2(x + 3) Reorder the terms: 20 + 7x = -2(3 + x) 20 + 7x = (3 * -2 + x * -2) 20 + 7x = (-6 + -2x) Solving 20 + 7x = -6 + -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. 20 + 7x + 2x = -6 + -2x + 2x Combine like terms: 7x + 2x = 9x 20 + 9x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 9x = -6 + 0 20 + 9x = -6 Add '-20' to each side of the equation. 20 + -20 + 9x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = -6 + -20 9x = -6 + -20 Combine like terms: -6 + -20 = -26 9x = -26 Divide each side by '9'. x = -2.888888889 Simplifying x = -2.888888889
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