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Simplifying -3(x + 5) = 2x + 9 + x Reorder the terms: -3(5 + x) = 2x + 9 + x (5 * -3 + x * -3) = 2x + 9 + x (-15 + -3x) = 2x + 9 + x Reorder the terms: -15 + -3x = 9 + 2x + x Combine like terms: 2x + x = 3x -15 + -3x = 9 + 3x Solving -15 + -3x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + -3x + -3x = 9 + 3x + -3x Combine like terms: -3x + -3x = -6x -15 + -6x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -6x = 9 + 0 -15 + -6x = 9 Add '15' to each side of the equation. -15 + 15 + -6x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 9 + 15 -6x = 9 + 15 Combine like terms: 9 + 15 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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