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Simplifying 14 + -4x = 6x + -2(5 + -1x) 14 + -4x = 6x + (5 * -2 + -1x * -2) 14 + -4x = 6x + (-10 + 2x) Reorder the terms: 14 + -4x = -10 + 6x + 2x Combine like terms: 6x + 2x = 8x 14 + -4x = -10 + 8x Solving 14 + -4x = -10 + 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. 14 + -4x + -8x = -10 + 8x + -8x Combine like terms: -4x + -8x = -12x 14 + -12x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -12x = -10 + 0 14 + -12x = -10 Add '-14' to each side of the equation. 14 + -14 + -12x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = -10 + -14 -12x = -10 + -14 Combine like terms: -10 + -14 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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