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Simplifying -5x + 3(x + -5) = 6x + 9 Reorder the terms: -5x + 3(-5 + x) = 6x + 9 -5x + (-5 * 3 + x * 3) = 6x + 9 -5x + (-15 + 3x) = 6x + 9 Reorder the terms: -15 + -5x + 3x = 6x + 9 Combine like terms: -5x + 3x = -2x -15 + -2x = 6x + 9 Reorder the terms: -15 + -2x = 9 + 6x Solving -15 + -2x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -2x + -6x = 9 + 6x + -6x Combine like terms: -2x + -6x = -8x -15 + -8x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -8x = 9 + 0 -15 + -8x = 9 Add '15' to each side of the equation. -15 + 15 + -8x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = 9 + 15 -8x = 9 + 15 Combine like terms: 9 + 15 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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