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Simplifying 6(x + 1) + -2(2x + 3) + -3x = 10 + -22x + -12(x + -1) Reorder the terms: 6(1 + x) + -2(2x + 3) + -3x = 10 + -22x + -12(x + -1) (1 * 6 + x * 6) + -2(2x + 3) + -3x = 10 + -22x + -12(x + -1) (6 + 6x) + -2(2x + 3) + -3x = 10 + -22x + -12(x + -1) Reorder the terms: 6 + 6x + -2(3 + 2x) + -3x = 10 + -22x + -12(x + -1) 6 + 6x + (3 * -2 + 2x * -2) + -3x = 10 + -22x + -12(x + -1) 6 + 6x + (-6 + -4x) + -3x = 10 + -22x + -12(x + -1) Reorder the terms: 6 + -6 + 6x + -4x + -3x = 10 + -22x + -12(x + -1) Combine like terms: 6 + -6 = 0 0 + 6x + -4x + -3x = 10 + -22x + -12(x + -1) 6x + -4x + -3x = 10 + -22x + -12(x + -1) Combine like terms: 6x + -4x = 2x 2x + -3x = 10 + -22x + -12(x + -1) Combine like terms: 2x + -3x = -1x -1x = 10 + -22x + -12(x + -1) Reorder the terms: -1x = 10 + -22x + -12(-1 + x) -1x = 10 + -22x + (-1 * -12 + x * -12) -1x = 10 + -22x + (12 + -12x) Reorder the terms: -1x = 10 + 12 + -22x + -12x Combine like terms: 10 + 12 = 22 -1x = 22 + -22x + -12x Combine like terms: -22x + -12x = -34x -1x = 22 + -34x Solving -1x = 22 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -1x + 34x = 22 + -34x + 34x Combine like terms: -1x + 34x = 33x 33x = 22 + -34x + 34x Combine like terms: -34x + 34x = 0 33x = 22 + 0 33x = 22 Divide each side by '33'. x = 0.6666666667 Simplifying x = 0.6666666667
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