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Simplifying 5x + -2(4 + -3x) = (7x + 8) * 2 + -11 5x + (4 * -2 + -3x * -2) = (7x + 8) * 2 + -11 5x + (-8 + 6x) = (7x + 8) * 2 + -11 Reorder the terms: -8 + 5x + 6x = (7x + 8) * 2 + -11 Combine like terms: 5x + 6x = 11x -8 + 11x = (7x + 8) * 2 + -11 Reorder the terms: -8 + 11x = (8 + 7x) * 2 + -11 Reorder the terms for easier multiplication: -8 + 11x = 2(8 + 7x) + -11 -8 + 11x = (8 * 2 + 7x * 2) + -11 -8 + 11x = (16 + 14x) + -11 Reorder the terms: -8 + 11x = 16 + -11 + 14x Combine like terms: 16 + -11 = 5 -8 + 11x = 5 + 14x Solving -8 + 11x = 5 + 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. -8 + 11x + -14x = 5 + 14x + -14x Combine like terms: 11x + -14x = -3x -8 + -3x = 5 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -3x = 5 + 0 -8 + -3x = 5 Add '8' to each side of the equation. -8 + 8 + -3x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 5 + 8 -3x = 5 + 8 Combine like terms: 5 + 8 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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