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Simplifying 3x + 2 + -2(x + 4) = 5x + 6 Reorder the terms: 3x + 2 + -2(4 + x) = 5x + 6 3x + 2 + (4 * -2 + x * -2) = 5x + 6 3x + 2 + (-8 + -2x) = 5x + 6 Reorder the terms: 2 + -8 + 3x + -2x = 5x + 6 Combine like terms: 2 + -8 = -6 -6 + 3x + -2x = 5x + 6 Combine like terms: 3x + -2x = 1x -6 + 1x = 5x + 6 Reorder the terms: -6 + 1x = 6 + 5x Solving -6 + 1x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 1x + -5x = 6 + 5x + -5x Combine like terms: 1x + -5x = -4x -6 + -4x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4x = 6 + 0 -6 + -4x = 6 Add '6' to each side of the equation. -6 + 6 + -4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 6 + 6 -4x = 6 + 6 Combine like terms: 6 + 6 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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