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Simplifying -4(4 + 2x) = 7(-2 + -1x) (4 * -4 + 2x * -4) = 7(-2 + -1x) (-16 + -8x) = 7(-2 + -1x) -16 + -8x = (-2 * 7 + -1x * 7) -16 + -8x = (-14 + -7x) Solving -16 + -8x = -14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + -8x + 7x = -14 + -7x + 7x Combine like terms: -8x + 7x = -1x -16 + -1x = -14 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + -1x = -14 + 0 -16 + -1x = -14 Add '16' to each side of the equation. -16 + 16 + -1x = -14 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -14 + 16 -1x = -14 + 16 Combine like terms: -14 + 16 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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