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Simplifying 8x + -2(4 + -3x) = 5(x + -3) + -11 8x + (4 * -2 + -3x * -2) = 5(x + -3) + -11 8x + (-8 + 6x) = 5(x + -3) + -11 Reorder the terms: -8 + 8x + 6x = 5(x + -3) + -11 Combine like terms: 8x + 6x = 14x -8 + 14x = 5(x + -3) + -11 Reorder the terms: -8 + 14x = 5(-3 + x) + -11 -8 + 14x = (-3 * 5 + x * 5) + -11 -8 + 14x = (-15 + 5x) + -11 Reorder the terms: -8 + 14x = -15 + -11 + 5x Combine like terms: -15 + -11 = -26 -8 + 14x = -26 + 5x Solving -8 + 14x = -26 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 14x + -5x = -26 + 5x + -5x Combine like terms: 14x + -5x = 9x -8 + 9x = -26 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 9x = -26 + 0 -8 + 9x = -26 Add '8' to each side of the equation. -8 + 8 + 9x = -26 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = -26 + 8 9x = -26 + 8 Combine like terms: -26 + 8 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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