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