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Simplifying 5(x + 5) + 10(x + -3) = 70 Reorder the terms: 5(5 + x) + 10(x + -3) = 70 (5 * 5 + x * 5) + 10(x + -3) = 70 (25 + 5x) + 10(x + -3) = 70 Reorder the terms: 25 + 5x + 10(-3 + x) = 70 25 + 5x + (-3 * 10 + x * 10) = 70 25 + 5x + (-30 + 10x) = 70 Reorder the terms: 25 + -30 + 5x + 10x = 70 Combine like terms: 25 + -30 = -5 -5 + 5x + 10x = 70 Combine like terms: 5x + 10x = 15x -5 + 15x = 70 Solving -5 + 15x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 15x = 70 + 5 Combine like terms: -5 + 5 = 0 0 + 15x = 70 + 5 15x = 70 + 5 Combine like terms: 70 + 5 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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