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Simplifying -5(x + 5) = 2(3x + 12) Reorder the terms: -5(5 + x) = 2(3x + 12) (5 * -5 + x * -5) = 2(3x + 12) (-25 + -5x) = 2(3x + 12) Reorder the terms: -25 + -5x = 2(12 + 3x) -25 + -5x = (12 * 2 + 3x * 2) -25 + -5x = (24 + 6x) Solving -25 + -5x = 24 + 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. -25 + -5x + -6x = 24 + 6x + -6x Combine like terms: -5x + -6x = -11x -25 + -11x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + -11x = 24 + 0 -25 + -11x = 24 Add '25' to each side of the equation. -25 + 25 + -11x = 24 + 25 Combine like terms: -25 + 25 = 0 0 + -11x = 24 + 25 -11x = 24 + 25 Combine like terms: 24 + 25 = 49 -11x = 49 Divide each side by '-11'. x = -4.454545455 Simplifying x = -4.454545455
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