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Simplifying 6x + -4 = 8x + -1(12x + 14) Reorder the terms: -4 + 6x = 8x + -1(12x + 14) Reorder the terms: -4 + 6x = 8x + -1(14 + 12x) -4 + 6x = 8x + (14 * -1 + 12x * -1) -4 + 6x = 8x + (-14 + -12x) Reorder the terms: -4 + 6x = -14 + 8x + -12x Combine like terms: 8x + -12x = -4x -4 + 6x = -14 + -4x Solving -4 + 6x = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 6x + 4x = -14 + -4x + 4x Combine like terms: 6x + 4x = 10x -4 + 10x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 10x = -14 + 0 -4 + 10x = -14 Add '4' to each side of the equation. -4 + 4 + 10x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = -14 + 4 10x = -14 + 4 Combine like terms: -14 + 4 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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