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Simplifying 3(x + -5) = 2(2 + -1x) + 1 Reorder the terms: 3(-5 + x) = 2(2 + -1x) + 1 (-5 * 3 + x * 3) = 2(2 + -1x) + 1 (-15 + 3x) = 2(2 + -1x) + 1 -15 + 3x = (2 * 2 + -1x * 2) + 1 -15 + 3x = (4 + -2x) + 1 Reorder the terms: -15 + 3x = 4 + 1 + -2x Combine like terms: 4 + 1 = 5 -15 + 3x = 5 + -2x Solving -15 + 3x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 3x + 2x = 5 + -2x + 2x Combine like terms: 3x + 2x = 5x -15 + 5x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 5x = 5 + 0 -15 + 5x = 5 Add '15' to each side of the equation. -15 + 15 + 5x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 5 + 15 5x = 5 + 15 Combine like terms: 5 + 15 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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