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Simplifying 9(x + -5) = 3(x + 3) Reorder the terms: 9(-5 + x) = 3(x + 3) (-5 * 9 + x * 9) = 3(x + 3) (-45 + 9x) = 3(x + 3) Reorder the terms: -45 + 9x = 3(3 + x) -45 + 9x = (3 * 3 + x * 3) -45 + 9x = (9 + 3x) Solving -45 + 9x = 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. -45 + 9x + -3x = 9 + 3x + -3x Combine like terms: 9x + -3x = 6x -45 + 6x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 6x = 9 + 0 -45 + 6x = 9 Add '45' to each side of the equation. -45 + 45 + 6x = 9 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 9 + 45 6x = 9 + 45 Combine like terms: 9 + 45 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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