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Simplifying -4(2x + 1) = 7(3 + -1x) Reorder the terms: -4(1 + 2x) = 7(3 + -1x) (1 * -4 + 2x * -4) = 7(3 + -1x) (-4 + -8x) = 7(3 + -1x) -4 + -8x = (3 * 7 + -1x * 7) -4 + -8x = (21 + -7x) Solving -4 + -8x = 21 + -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. -4 + -8x + 7x = 21 + -7x + 7x Combine like terms: -8x + 7x = -1x -4 + -1x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -4 + -1x = 21 + 0 -4 + -1x = 21 Add '4' to each side of the equation. -4 + 4 + -1x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 21 + 4 -1x = 21 + 4 Combine like terms: 21 + 4 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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