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Simplifying 2(x + -1) + -1(5x + 1) = 6(6x + 3) Reorder the terms: 2(-1 + x) + -1(5x + 1) = 6(6x + 3) (-1 * 2 + x * 2) + -1(5x + 1) = 6(6x + 3) (-2 + 2x) + -1(5x + 1) = 6(6x + 3) Reorder the terms: -2 + 2x + -1(1 + 5x) = 6(6x + 3) -2 + 2x + (1 * -1 + 5x * -1) = 6(6x + 3) -2 + 2x + (-1 + -5x) = 6(6x + 3) Reorder the terms: -2 + -1 + 2x + -5x = 6(6x + 3) Combine like terms: -2 + -1 = -3 -3 + 2x + -5x = 6(6x + 3) Combine like terms: 2x + -5x = -3x -3 + -3x = 6(6x + 3) Reorder the terms: -3 + -3x = 6(3 + 6x) -3 + -3x = (3 * 6 + 6x * 6) -3 + -3x = (18 + 36x) Solving -3 + -3x = 18 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -3 + -3x + -36x = 18 + 36x + -36x Combine like terms: -3x + -36x = -39x -3 + -39x = 18 + 36x + -36x Combine like terms: 36x + -36x = 0 -3 + -39x = 18 + 0 -3 + -39x = 18 Add '3' to each side of the equation. -3 + 3 + -39x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -39x = 18 + 3 -39x = 18 + 3 Combine like terms: 18 + 3 = 21 -39x = 21 Divide each side by '-39'. x = -0.5384615385 Simplifying x = -0.5384615385
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