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Simplifying -5x + 1 = -2x + 28 Reorder the terms: 1 + -5x = -2x + 28 Reorder the terms: 1 + -5x = 28 + -2x Solving 1 + -5x = 28 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + -5x + 2x = 28 + -2x + 2x Combine like terms: -5x + 2x = -3x 1 + -3x = 28 + -2x + 2x Combine like terms: -2x + 2x = 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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