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Simplifying 5(3x + 1) + -10(x + 5) = 5 Reorder the terms: 5(1 + 3x) + -10(x + 5) = 5 (1 * 5 + 3x * 5) + -10(x + 5) = 5 (5 + 15x) + -10(x + 5) = 5 Reorder the terms: 5 + 15x + -10(5 + x) = 5 5 + 15x + (5 * -10 + x * -10) = 5 5 + 15x + (-50 + -10x) = 5 Reorder the terms: 5 + -50 + 15x + -10x = 5 Combine like terms: 5 + -50 = -45 -45 + 15x + -10x = 5 Combine like terms: 15x + -10x = 5x -45 + 5x = 5 Solving -45 + 5x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5x = 5 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 5 + 45 5x = 5 + 45 Combine like terms: 5 + 45 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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