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Simplifying 2(-11 + -10x) + -1 = -5 + 2(5 + -12x) (-11 * 2 + -10x * 2) + -1 = -5 + 2(5 + -12x) (-22 + -20x) + -1 = -5 + 2(5 + -12x) Reorder the terms: -22 + -1 + -20x = -5 + 2(5 + -12x) Combine like terms: -22 + -1 = -23 -23 + -20x = -5 + 2(5 + -12x) -23 + -20x = -5 + (5 * 2 + -12x * 2) -23 + -20x = -5 + (10 + -24x) Combine like terms: -5 + 10 = 5 -23 + -20x = 5 + -24x Solving -23 + -20x = 5 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -23 + -20x + 24x = 5 + -24x + 24x Combine like terms: -20x + 24x = 4x -23 + 4x = 5 + -24x + 24x Combine like terms: -24x + 24x = 0 -23 + 4x = 5 + 0 -23 + 4x = 5 Add '23' to each side of the equation. -23 + 23 + 4x = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = 5 + 23 4x = 5 + 23 Combine like terms: 5 + 23 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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