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Simplifying -5x + (8 + 3x) * 2 = 2(6x + 11) + -27 Reorder the terms for easier multiplication: -5x + 2(8 + 3x) = 2(6x + 11) + -27 -5x + (8 * 2 + 3x * 2) = 2(6x + 11) + -27 -5x + (16 + 6x) = 2(6x + 11) + -27 Reorder the terms: 16 + -5x + 6x = 2(6x + 11) + -27 Combine like terms: -5x + 6x = 1x 16 + 1x = 2(6x + 11) + -27 Reorder the terms: 16 + 1x = 2(11 + 6x) + -27 16 + 1x = (11 * 2 + 6x * 2) + -27 16 + 1x = (22 + 12x) + -27 Reorder the terms: 16 + 1x = 22 + -27 + 12x Combine like terms: 22 + -27 = -5 16 + 1x = -5 + 12x Solving 16 + 1x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 1x + -12x = -5 + 12x + -12x Combine like terms: 1x + -12x = -11x 16 + -11x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + -11x = -5 + 0 16 + -11x = -5 Add '-16' to each side of the equation. 16 + -16 + -11x = -5 + -16 Combine like terms: 16 + -16 = 0 0 + -11x = -5 + -16 -11x = -5 + -16 Combine like terms: -5 + -16 = -21 -11x = -21 Divide each side by '-11'. x = 1.909090909 Simplifying x = 1.909090909
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