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Simplifying 3(x + -5) + -5x = 2x + 9 Reorder the terms: 3(-5 + x) + -5x = 2x + 9 (-5 * 3 + x * 3) + -5x = 2x + 9 (-15 + 3x) + -5x = 2x + 9 Combine like terms: 3x + -5x = -2x -15 + -2x = 2x + 9 Reorder the terms: -15 + -2x = 9 + 2x Solving -15 + -2x = 9 + 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 + -2x + -2x = 9 + 2x + -2x Combine like terms: -2x + -2x = -4x -15 + -4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 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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