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Simplifying 9(x + -5) + 2 = 5x + -15 Reorder the terms: 9(-5 + x) + 2 = 5x + -15 (-5 * 9 + x * 9) + 2 = 5x + -15 (-45 + 9x) + 2 = 5x + -15 Reorder the terms: -45 + 2 + 9x = 5x + -15 Combine like terms: -45 + 2 = -43 -43 + 9x = 5x + -15 Reorder the terms: -43 + 9x = -15 + 5x Solving -43 + 9x = -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. -43 + 9x + -5x = -15 + 5x + -5x Combine like terms: 9x + -5x = 4x -43 + 4x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 4x = -15 + 0 -43 + 4x = -15 Add '43' to each side of the equation. -43 + 43 + 4x = -15 + 43 Combine like terms: -43 + 43 = 0 0 + 4x = -15 + 43 4x = -15 + 43 Combine like terms: -15 + 43 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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