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Simplifying 5x + -6 + -5(x + 1) = -2x + -6 Reorder the terms: 5x + -6 + -5(1 + x) = -2x + -6 5x + -6 + (1 * -5 + x * -5) = -2x + -6 5x + -6 + (-5 + -5x) = -2x + -6 Reorder the terms: -6 + -5 + 5x + -5x = -2x + -6 Combine like terms: -6 + -5 = -11 -11 + 5x + -5x = -2x + -6 Combine like terms: 5x + -5x = 0 -11 + 0 = -2x + -6 -11 = -2x + -6 Reorder the terms: -11 = -6 + -2x Solving -11 = -6 + -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. -11 + 2x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 2x = -6 + 0 -11 + 2x = -6 Add '11' to each side of the equation. -11 + 11 + 2x = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -6 + 11 2x = -6 + 11 Combine like terms: -6 + 11 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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