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Simplifying -9(x + 5) = 3(x + 48) Reorder the terms: -9(5 + x) = 3(x + 48) (5 * -9 + x * -9) = 3(x + 48) (-45 + -9x) = 3(x + 48) Reorder the terms: -45 + -9x = 3(48 + x) -45 + -9x = (48 * 3 + x * 3) -45 + -9x = (144 + 3x) Solving -45 + -9x = 144 + 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 = 144 + 3x + -3x Combine like terms: -9x + -3x = -12x -45 + -12x = 144 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + -12x = 144 + 0 -45 + -12x = 144 Add '45' to each side of the equation. -45 + 45 + -12x = 144 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = 144 + 45 -12x = 144 + 45 Combine like terms: 144 + 45 = 189 -12x = 189 Divide each side by '-12'. x = -15.75 Simplifying x = -15.75
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