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Simplifying -11 + 10(x + 1) = 4 + -5(2x + 11) Reorder the terms: -11 + 10(1 + x) = 4 + -5(2x + 11) -11 + (1 * 10 + x * 10) = 4 + -5(2x + 11) -11 + (10 + 10x) = 4 + -5(2x + 11) Combine like terms: -11 + 10 = -1 -1 + 10x = 4 + -5(2x + 11) Reorder the terms: -1 + 10x = 4 + -5(11 + 2x) -1 + 10x = 4 + (11 * -5 + 2x * -5) -1 + 10x = 4 + (-55 + -10x) Combine like terms: 4 + -55 = -51 -1 + 10x = -51 + -10x Solving -1 + 10x = -51 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -1 + 10x + 10x = -51 + -10x + 10x Combine like terms: 10x + 10x = 20x -1 + 20x = -51 + -10x + 10x Combine like terms: -10x + 10x = 0 -1 + 20x = -51 + 0 -1 + 20x = -51 Add '1' to each side of the equation. -1 + 1 + 20x = -51 + 1 Combine like terms: -1 + 1 = 0 0 + 20x = -51 + 1 20x = -51 + 1 Combine like terms: -51 + 1 = -50 20x = -50 Divide each side by '20'. x = -2.5 Simplifying x = -2.5
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