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Simplifying 5(x + -1) = -2(3x + 8) Reorder the terms: 5(-1 + x) = -2(3x + 8) (-1 * 5 + x * 5) = -2(3x + 8) (-5 + 5x) = -2(3x + 8) Reorder the terms: -5 + 5x = -2(8 + 3x) -5 + 5x = (8 * -2 + 3x * -2) -5 + 5x = (-16 + -6x) Solving -5 + 5x = -16 + -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. -5 + 5x + 6x = -16 + -6x + 6x Combine like terms: 5x + 6x = 11x -5 + 11x = -16 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 11x = -16 + 0 -5 + 11x = -16 Add '5' to each side of the equation. -5 + 5 + 11x = -16 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = -16 + 5 11x = -16 + 5 Combine like terms: -16 + 5 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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