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Simplifying 2(x + 6) + -1(2x + 11) * 5 = 0 Reorder the terms: 2(6 + x) + -1(2x + 11) * 5 = 0 (6 * 2 + x * 2) + -1(2x + 11) * 5 = 0 (12 + 2x) + -1(2x + 11) * 5 = 0 Reorder the terms: 12 + 2x + -1(11 + 2x) * 5 = 0 Reorder the terms for easier multiplication: 12 + 2x + -1 * 5(11 + 2x) = 0 Multiply -1 * 5 12 + 2x + -5(11 + 2x) = 0 12 + 2x + (11 * -5 + 2x * -5) = 0 12 + 2x + (-55 + -10x) = 0 Reorder the terms: 12 + -55 + 2x + -10x = 0 Combine like terms: 12 + -55 = -43 -43 + 2x + -10x = 0 Combine like terms: 2x + -10x = -8x -43 + -8x = 0 Solving -43 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -8x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -8x = 0 + 43 -8x = 0 + 43 Combine like terms: 0 + 43 = 43 -8x = 43 Divide each side by '-8'. x = -5.375 Simplifying x = -5.375
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