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Simplifying -8x + -14 = 3x + -7(x + -2) Reorder the terms: -14 + -8x = 3x + -7(x + -2) Reorder the terms: -14 + -8x = 3x + -7(-2 + x) -14 + -8x = 3x + (-2 * -7 + x * -7) -14 + -8x = 3x + (14 + -7x) Reorder the terms: -14 + -8x = 14 + 3x + -7x Combine like terms: 3x + -7x = -4x -14 + -8x = 14 + -4x Solving -14 + -8x = 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. -14 + -8x + 4x = 14 + -4x + 4x Combine like terms: -8x + 4x = -4x -14 + -4x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + -4x = 14 + 0 -14 + -4x = 14 Add '14' to each side of the equation. -14 + 14 + -4x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 14 + 14 -4x = 14 + 14 Combine like terms: 14 + 14 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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