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Simplifying -5(5x + -3) + -27 = -3(3x + -2) Reorder the terms: -5(-3 + 5x) + -27 = -3(3x + -2) (-3 * -5 + 5x * -5) + -27 = -3(3x + -2) (15 + -25x) + -27 = -3(3x + -2) Reorder the terms: 15 + -27 + -25x = -3(3x + -2) Combine like terms: 15 + -27 = -12 -12 + -25x = -3(3x + -2) Reorder the terms: -12 + -25x = -3(-2 + 3x) -12 + -25x = (-2 * -3 + 3x * -3) -12 + -25x = (6 + -9x) Solving -12 + -25x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -12 + -25x + 9x = 6 + -9x + 9x Combine like terms: -25x + 9x = -16x -12 + -16x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -12 + -16x = 6 + 0 -12 + -16x = 6 Add '12' to each side of the equation. -12 + 12 + -16x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 6 + 12 -16x = 6 + 12 Combine like terms: 6 + 12 = 18 -16x = 18 Divide each side by '-16'. x = -1.125 Simplifying x = -1.125
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