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Simplifying 3x + -14 + 2(x + -4) = 2x + -2 Reorder the terms: 3x + -14 + 2(-4 + x) = 2x + -2 3x + -14 + (-4 * 2 + x * 2) = 2x + -2 3x + -14 + (-8 + 2x) = 2x + -2 Reorder the terms: -14 + -8 + 3x + 2x = 2x + -2 Combine like terms: -14 + -8 = -22 -22 + 3x + 2x = 2x + -2 Combine like terms: 3x + 2x = 5x -22 + 5x = 2x + -2 Reorder the terms: -22 + 5x = -2 + 2x Solving -22 + 5x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -22 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x -22 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 3x = -2 + 0 -22 + 3x = -2 Add '22' to each side of the equation. -22 + 22 + 3x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -2 + 22 3x = -2 + 22 Combine like terms: -2 + 22 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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