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Simplifying 2(6x + -1) + -5(x + 6) = 5(x + 1) Reorder the terms: 2(-1 + 6x) + -5(x + 6) = 5(x + 1) (-1 * 2 + 6x * 2) + -5(x + 6) = 5(x + 1) (-2 + 12x) + -5(x + 6) = 5(x + 1) Reorder the terms: -2 + 12x + -5(6 + x) = 5(x + 1) -2 + 12x + (6 * -5 + x * -5) = 5(x + 1) -2 + 12x + (-30 + -5x) = 5(x + 1) Reorder the terms: -2 + -30 + 12x + -5x = 5(x + 1) Combine like terms: -2 + -30 = -32 -32 + 12x + -5x = 5(x + 1) Combine like terms: 12x + -5x = 7x -32 + 7x = 5(x + 1) Reorder the terms: -32 + 7x = 5(1 + x) -32 + 7x = (1 * 5 + x * 5) -32 + 7x = (5 + 5x) Solving -32 + 7x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 7x + -5x = 5 + 5x + -5x Combine like terms: 7x + -5x = 2x -32 + 2x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 2x = 5 + 0 -32 + 2x = 5 Add '32' to each side of the equation. -32 + 32 + 2x = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 5 + 32 2x = 5 + 32 Combine like terms: 5 + 32 = 37 2x = 37 Divide each side by '2'. x = 18.5 Simplifying x = 18.5
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