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Simplifying -4(-1x + 7) + 4 = -1(-5x + -2) + -1 Reorder the terms: -4(7 + -1x) + 4 = -1(-5x + -2) + -1 (7 * -4 + -1x * -4) + 4 = -1(-5x + -2) + -1 (-28 + 4x) + 4 = -1(-5x + -2) + -1 Reorder the terms: -28 + 4 + 4x = -1(-5x + -2) + -1 Combine like terms: -28 + 4 = -24 -24 + 4x = -1(-5x + -2) + -1 Reorder the terms: -24 + 4x = -1(-2 + -5x) + -1 -24 + 4x = (-2 * -1 + -5x * -1) + -1 -24 + 4x = (2 + 5x) + -1 Reorder the terms: -24 + 4x = 2 + -1 + 5x Combine like terms: 2 + -1 = 1 -24 + 4x = 1 + 5x Solving -24 + 4x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 4x + -5x = 1 + 5x + -5x Combine like terms: 4x + -5x = -1x -24 + -1x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -1x = 1 + 0 -24 + -1x = 1 Add '24' to each side of the equation. -24 + 24 + -1x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = 1 + 24 -1x = 1 + 24 Combine like terms: 1 + 24 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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