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Simplifying 5(x + 10) + -3(x + 1) = 0 Reorder the terms: 5(10 + x) + -3(x + 1) = 0 (10 * 5 + x * 5) + -3(x + 1) = 0 (50 + 5x) + -3(x + 1) = 0 Reorder the terms: 50 + 5x + -3(1 + x) = 0 50 + 5x + (1 * -3 + x * -3) = 0 50 + 5x + (-3 + -3x) = 0 Reorder the terms: 50 + -3 + 5x + -3x = 0 Combine like terms: 50 + -3 = 47 47 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x 47 + 2x = 0 Solving 47 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 2x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 2x = 0 + -47 2x = 0 + -47 Combine like terms: 0 + -47 = -47 2x = -47 Divide each side by '2'. x = -23.5 Simplifying x = -23.5
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