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Simplifying 3x + 2 + -4x = -16 + 2x Reorder the terms: 2 + 3x + -4x = -16 + 2x Combine like terms: 3x + -4x = -1x 2 + -1x = -16 + 2x Solving 2 + -1x = -16 + 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. 2 + -1x + -2x = -16 + 2x + -2x Combine like terms: -1x + -2x = -3x 2 + -3x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -3x = -16 + 0 2 + -3x = -16 Add '-2' to each side of the equation. 2 + -2 + -3x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -16 + -2 -3x = -16 + -2 Combine like terms: -16 + -2 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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