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Simplifying 5(x + 1) + -6x = -11x Reorder the terms: 5(1 + x) + -6x = -11x (1 * 5 + x * 5) + -6x = -11x (5 + 5x) + -6x = -11x Combine like terms: 5x + -6x = -1x 5 + -1x = -11x Solving 5 + -1x = -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 5 + -1x + 11x = -11x + 11x Combine like terms: -1x + 11x = 10x 5 + 10x = -11x + 11x Combine like terms: -11x + 11x = 0 5 + 10x = 0 Add '-5' to each side of the equation. 5 + -5 + 10x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 0 + -5 10x = 0 + -5 Combine like terms: 0 + -5 = -5 10x = -5 Divide each side by '10'. x = -0.5 Simplifying x = -0.5
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