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Simplifying 4x + 2 = 14 + -2(3 + -4x) Reorder the terms: 2 + 4x = 14 + -2(3 + -4x) 2 + 4x = 14 + (3 * -2 + -4x * -2) 2 + 4x = 14 + (-6 + 8x) Combine like terms: 14 + -6 = 8 2 + 4x = 8 + 8x Solving 2 + 4x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 4x + -8x = 8 + 8x + -8x Combine like terms: 4x + -8x = -4x 2 + -4x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -4x = 8 + 0 2 + -4x = 8 Add '-2' to each side of the equation. 2 + -2 + -4x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 8 + -2 -4x = 8 + -2 Combine like terms: 8 + -2 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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