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Simplifying -4x + 1 = 5x + 28 Reorder the terms: 1 + -4x = 5x + 28 Reorder the terms: 1 + -4x = 28 + 5x Solving 1 + -4x = 28 + 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. 1 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 1 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -9x = 28 + 0 1 + -9x = 28 Add '-1' to each side of the equation. 1 + -1 + -9x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 28 + -1 -9x = 28 + -1 Combine like terms: 28 + -1 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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