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Simplifying 3(x + -1) + -8 = 14 + -2(3x + -4) Reorder the terms: 3(-1 + x) + -8 = 14 + -2(3x + -4) (-1 * 3 + x * 3) + -8 = 14 + -2(3x + -4) (-3 + 3x) + -8 = 14 + -2(3x + -4) Reorder the terms: -3 + -8 + 3x = 14 + -2(3x + -4) Combine like terms: -3 + -8 = -11 -11 + 3x = 14 + -2(3x + -4) Reorder the terms: -11 + 3x = 14 + -2(-4 + 3x) -11 + 3x = 14 + (-4 * -2 + 3x * -2) -11 + 3x = 14 + (8 + -6x) Combine like terms: 14 + 8 = 22 -11 + 3x = 22 + -6x Solving -11 + 3x = 22 + -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. -11 + 3x + 6x = 22 + -6x + 6x Combine like terms: 3x + 6x = 9x -11 + 9x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 9x = 22 + 0 -11 + 9x = 22 Add '11' to each side of the equation. -11 + 11 + 9x = 22 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = 22 + 11 9x = 22 + 11 Combine like terms: 22 + 11 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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