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Simplifying 5(2x + -10) + -1(2x + -8) = 30 Reorder the terms: 5(-10 + 2x) + -1(2x + -8) = 30 (-10 * 5 + 2x * 5) + -1(2x + -8) = 30 (-50 + 10x) + -1(2x + -8) = 30 Reorder the terms: -50 + 10x + -1(-8 + 2x) = 30 -50 + 10x + (-8 * -1 + 2x * -1) = 30 -50 + 10x + (8 + -2x) = 30 Reorder the terms: -50 + 8 + 10x + -2x = 30 Combine like terms: -50 + 8 = -42 -42 + 10x + -2x = 30 Combine like terms: 10x + -2x = 8x -42 + 8x = 30 Solving -42 + 8x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 8x = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 8x = 30 + 42 8x = 30 + 42 Combine like terms: 30 + 42 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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