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Simplifying 3((x * 2) + -1(5 * 2)) = x + -5 Reorder the terms for easier multiplication: 3((2x) + -1(5 * 2)) = x + -5 Multiply 5 * 2 3((2x) + -1(10)) = x + -5 Multiply -1 * 10 3((2x) + -10) = x + -5 Reorder the terms: 3(-10 + (2x)) = x + -5 (-10 * 3 + (2x) * 3) = x + -5 (-30 + 6x) = x + -5 Reorder the terms: -30 + 6x = -5 + x Solving -30 + 6x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + 6x + -1x = -5 + x + -1x Combine like terms: 6x + -1x = 5x -30 + 5x = -5 + x + -1x Combine like terms: x + -1x = 0 -30 + 5x = -5 + 0 -30 + 5x = -5 Add '30' to each side of the equation. -30 + 30 + 5x = -5 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -5 + 30 5x = -5 + 30 Combine like terms: -5 + 30 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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