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Simplifying -1(1 + -1x) = 4(2x + 7) (1 * -1 + -1x * -1) = 4(2x + 7) (-1 + 1x) = 4(2x + 7) Reorder the terms: -1 + 1x = 4(7 + 2x) -1 + 1x = (7 * 4 + 2x * 4) -1 + 1x = (28 + 8x) Solving -1 + 1x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 1x + -8x = 28 + 8x + -8x Combine like terms: 1x + -8x = -7x -1 + -7x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -7x = 28 + 0 -1 + -7x = 28 Add '1' to each side of the equation. -1 + 1 + -7x = 28 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 28 + 1 -7x = 28 + 1 Combine like terms: 28 + 1 = 29 -7x = 29 Divide each side by '-7'. x = -4.142857143 Simplifying x = -4.142857143
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