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Simplifying 3(x + -5) + 2x = x + 9 Reorder the terms: 3(-5 + x) + 2x = x + 9 (-5 * 3 + x * 3) + 2x = x + 9 (-15 + 3x) + 2x = x + 9 Combine like terms: 3x + 2x = 5x -15 + 5x = x + 9 Reorder the terms: -15 + 5x = 9 + x Solving -15 + 5x = 9 + 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. -15 + 5x + -1x = 9 + x + -1x Combine like terms: 5x + -1x = 4x -15 + 4x = 9 + x + -1x Combine like terms: x + -1x = 0 -15 + 4x = 9 + 0 -15 + 4x = 9 Add '15' to each side of the equation. -15 + 15 + 4x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 9 + 15 4x = 9 + 15 Combine like terms: 9 + 15 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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