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Simplifying -5(2x + -11) = 2(x + -23) + -43 Reorder the terms: -5(-11 + 2x) = 2(x + -23) + -43 (-11 * -5 + 2x * -5) = 2(x + -23) + -43 (55 + -10x) = 2(x + -23) + -43 Reorder the terms: 55 + -10x = 2(-23 + x) + -43 55 + -10x = (-23 * 2 + x * 2) + -43 55 + -10x = (-46 + 2x) + -43 Reorder the terms: 55 + -10x = -46 + -43 + 2x Combine like terms: -46 + -43 = -89 55 + -10x = -89 + 2x Solving 55 + -10x = -89 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 55 + -10x + -2x = -89 + 2x + -2x Combine like terms: -10x + -2x = -12x 55 + -12x = -89 + 2x + -2x Combine like terms: 2x + -2x = 0 55 + -12x = -89 + 0 55 + -12x = -89 Add '-55' to each side of the equation. 55 + -55 + -12x = -89 + -55 Combine like terms: 55 + -55 = 0 0 + -12x = -89 + -55 -12x = -89 + -55 Combine like terms: -89 + -55 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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