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Simplifying 5(2 + x) + 3x = -2(x + 5) (2 * 5 + x * 5) + 3x = -2(x + 5) (10 + 5x) + 3x = -2(x + 5) Combine like terms: 5x + 3x = 8x 10 + 8x = -2(x + 5) Reorder the terms: 10 + 8x = -2(5 + x) 10 + 8x = (5 * -2 + x * -2) 10 + 8x = (-10 + -2x) Solving 10 + 8x = -10 + -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. 10 + 8x + 2x = -10 + -2x + 2x Combine like terms: 8x + 2x = 10x 10 + 10x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 10x = -10 + 0 10 + 10x = -10 Add '-10' to each side of the equation. 10 + -10 + 10x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = -10 + -10 10x = -10 + -10 Combine like terms: -10 + -10 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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