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Simplifying 5(2X + -1) + 2 = 7(x + 1) + -11 Reorder the terms: 5(-1 + 2X) + 2 = 7(x + 1) + -11 (-1 * 5 + 2X * 5) + 2 = 7(x + 1) + -11 (-5 + 10X) + 2 = 7(x + 1) + -11 Reorder the terms: -5 + 2 + 10X = 7(x + 1) + -11 Combine like terms: -5 + 2 = -3 -3 + 10X = 7(x + 1) + -11 Reorder the terms: -3 + 10X = 7(1 + x) + -11 -3 + 10X = (1 * 7 + x * 7) + -11 -3 + 10X = (7 + 7x) + -11 Reorder the terms: -3 + 10X = 7 + -11 + 7x Combine like terms: 7 + -11 = -4 -3 + 10X = -4 + 7x Solving -3 + 10X = -4 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10X = -4 + 3 + 7x Combine like terms: -3 + 3 = 0 0 + 10X = -4 + 3 + 7x 10X = -4 + 3 + 7x Combine like terms: -4 + 3 = -1 10X = -1 + 7x Divide each side by '10'. X = -0.1 + 0.7x Simplifying X = -0.1 + 0.7x
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