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Simplifying -2x + 1 = 4x + 9 Reorder the terms: 1 + -2x = 4x + 9 Reorder the terms: 1 + -2x = 9 + 4x Solving 1 + -2x = 9 + 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 + -2x + -4x = 9 + 4x + -4x Combine like terms: -2x + -4x = -6x 1 + -6x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -6x = 9 + 0 1 + -6x = 9 Add '-1' to each side of the equation. 1 + -1 + -6x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 9 + -1 -6x = 9 + -1 Combine like terms: 9 + -1 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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