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Simplifying -1x + 1 = 4(7 + -1x) Reorder the terms: 1 + -1x = 4(7 + -1x) 1 + -1x = (7 * 4 + -1x * 4) 1 + -1x = (28 + -4x) Solving 1 + -1x = 28 + -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. 1 + -1x + 4x = 28 + -4x + 4x Combine like terms: -1x + 4x = 3x 1 + 3x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 3x = 28 + 0 1 + 3x = 28 Add '-1' to each side of the equation. 1 + -1 + 3x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 28 + -1 3x = 28 + -1 Combine like terms: 28 + -1 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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