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Simplifying -6(x + 8) + 3 = -11x + 5(5x + 4) Reorder the terms: -6(8 + x) + 3 = -11x + 5(5x + 4) (8 * -6 + x * -6) + 3 = -11x + 5(5x + 4) (-48 + -6x) + 3 = -11x + 5(5x + 4) Reorder the terms: -48 + 3 + -6x = -11x + 5(5x + 4) Combine like terms: -48 + 3 = -45 -45 + -6x = -11x + 5(5x + 4) Reorder the terms: -45 + -6x = -11x + 5(4 + 5x) -45 + -6x = -11x + (4 * 5 + 5x * 5) -45 + -6x = -11x + (20 + 25x) Reorder the terms: -45 + -6x = 20 + -11x + 25x Combine like terms: -11x + 25x = 14x -45 + -6x = 20 + 14x Solving -45 + -6x = 20 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -45 + -6x + -14x = 20 + 14x + -14x Combine like terms: -6x + -14x = -20x -45 + -20x = 20 + 14x + -14x Combine like terms: 14x + -14x = 0 -45 + -20x = 20 + 0 -45 + -20x = 20 Add '45' to each side of the equation. -45 + 45 + -20x = 20 + 45 Combine like terms: -45 + 45 = 0 0 + -20x = 20 + 45 -20x = 20 + 45 Combine like terms: 20 + 45 = 65 -20x = 65 Divide each side by '-20'. x = -3.25 Simplifying x = -3.25
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