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Simplifying 10(X + 7) = 4x + 6(X + 11) Reorder the terms: 10(7 + X) = 4x + 6(X + 11) (7 * 10 + X * 10) = 4x + 6(X + 11) (70 + 10X) = 4x + 6(X + 11) Reorder the terms: 70 + 10X = 4x + 6(11 + X) 70 + 10X = 4x + (11 * 6 + X * 6) 70 + 10X = 4x + (66 + 6X) Reorder the terms: 70 + 10X = 66 + 6X + 4x Solving 70 + 10X = 66 + 6X + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 70 + 10X + -6X = 66 + 6X + -6X + 4x Combine like terms: 10X + -6X = 4X 70 + 4X = 66 + 6X + -6X + 4x Combine like terms: 6X + -6X = 0 70 + 4X = 66 + 0 + 4x 70 + 4X = 66 + 4x Add '-70' to each side of the equation. 70 + -70 + 4X = 66 + -70 + 4x Combine like terms: 70 + -70 = 0 0 + 4X = 66 + -70 + 4x 4X = 66 + -70 + 4x Combine like terms: 66 + -70 = -4 4X = -4 + 4x Divide each side by '4'. X = -1 + x Simplifying X = -1 + x
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