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Simplifying 6(x + -1) + -1(3x + 3) = 6(6x + 1) Reorder the terms: 6(-1 + x) + -1(3x + 3) = 6(6x + 1) (-1 * 6 + x * 6) + -1(3x + 3) = 6(6x + 1) (-6 + 6x) + -1(3x + 3) = 6(6x + 1) Reorder the terms: -6 + 6x + -1(3 + 3x) = 6(6x + 1) -6 + 6x + (3 * -1 + 3x * -1) = 6(6x + 1) -6 + 6x + (-3 + -3x) = 6(6x + 1) Reorder the terms: -6 + -3 + 6x + -3x = 6(6x + 1) Combine like terms: -6 + -3 = -9 -9 + 6x + -3x = 6(6x + 1) Combine like terms: 6x + -3x = 3x -9 + 3x = 6(6x + 1) Reorder the terms: -9 + 3x = 6(1 + 6x) -9 + 3x = (1 * 6 + 6x * 6) -9 + 3x = (6 + 36x) Solving -9 + 3x = 6 + 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. -9 + 3x + -36x = 6 + 36x + -36x Combine like terms: 3x + -36x = -33x -9 + -33x = 6 + 36x + -36x Combine like terms: 36x + -36x = 0 -9 + -33x = 6 + 0 -9 + -33x = 6 Add '9' to each side of the equation. -9 + 9 + -33x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -33x = 6 + 9 -33x = 6 + 9 Combine like terms: 6 + 9 = 15 -33x = 15 Divide each side by '-33'. x = -0.4545454545 Simplifying x = -0.4545454545
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