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Simplifying 5x + 10 + -11(x + 1) = -1(10x + -6) Reorder the terms: 5x + 10 + -11(1 + x) = -1(10x + -6) 5x + 10 + (1 * -11 + x * -11) = -1(10x + -6) 5x + 10 + (-11 + -11x) = -1(10x + -6) Reorder the terms: 10 + -11 + 5x + -11x = -1(10x + -6) Combine like terms: 10 + -11 = -1 -1 + 5x + -11x = -1(10x + -6) Combine like terms: 5x + -11x = -6x -1 + -6x = -1(10x + -6) Reorder the terms: -1 + -6x = -1(-6 + 10x) -1 + -6x = (-6 * -1 + 10x * -1) -1 + -6x = (6 + -10x) Solving -1 + -6x = 6 + -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 + -6x + 10x = 6 + -10x + 10x Combine like terms: -6x + 10x = 4x -1 + 4x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 -1 + 4x = 6 + 0 -1 + 4x = 6 Add '1' to each side of the equation. -1 + 1 + 4x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 6 + 1 4x = 6 + 1 Combine like terms: 6 + 1 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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