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Simplifying 2(5x + -1) = 6(x + 11) Reorder the terms: 2(-1 + 5x) = 6(x + 11) (-1 * 2 + 5x * 2) = 6(x + 11) (-2 + 10x) = 6(x + 11) Reorder the terms: -2 + 10x = 6(11 + x) -2 + 10x = (11 * 6 + x * 6) -2 + 10x = (66 + 6x) Solving -2 + 10x = 66 + 6x 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. -2 + 10x + -6x = 66 + 6x + -6x Combine like terms: 10x + -6x = 4x -2 + 4x = 66 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 4x = 66 + 0 -2 + 4x = 66 Add '2' to each side of the equation. -2 + 2 + 4x = 66 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 66 + 2 4x = 66 + 2 Combine like terms: 66 + 2 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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