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Simplifying 9(x + -5) + 2x = 5x + -15 Reorder the terms: 9(-5 + x) + 2x = 5x + -15 (-5 * 9 + x * 9) + 2x = 5x + -15 (-45 + 9x) + 2x = 5x + -15 Combine like terms: 9x + 2x = 11x -45 + 11x = 5x + -15 Reorder the terms: -45 + 11x = -15 + 5x Solving -45 + 11x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + 11x + -5x = -15 + 5x + -5x Combine like terms: 11x + -5x = 6x -45 + 6x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 6x = -15 + 0 -45 + 6x = -15 Add '45' to each side of the equation. -45 + 45 + 6x = -15 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = -15 + 45 6x = -15 + 45 Combine like terms: -15 + 45 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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