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Simplifying -1(x + 4) + 1 = 27 + 7x Reorder the terms: -1(4 + x) + 1 = 27 + 7x (4 * -1 + x * -1) + 1 = 27 + 7x (-4 + -1x) + 1 = 27 + 7x Reorder the terms: -4 + 1 + -1x = 27 + 7x Combine like terms: -4 + 1 = -3 -3 + -1x = 27 + 7x Solving -3 + -1x = 27 + 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. -3 + -1x + -7x = 27 + 7x + -7x Combine like terms: -1x + -7x = -8x -3 + -8x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -8x = 27 + 0 -3 + -8x = 27 Add '3' to each side of the equation. -3 + 3 + -8x = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 27 + 3 -8x = 27 + 3 Combine like terms: 27 + 3 = 30 -8x = 30 Divide each side by '-8'. x = -3.75 Simplifying x = -3.75
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