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Simplifying -4x + 1 = 2x + -7 Reorder the terms: 1 + -4x = 2x + -7 Reorder the terms: 1 + -4x = -7 + 2x Solving 1 + -4x = -7 + 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 + -4x + -2x = -7 + 2x + -2x Combine like terms: -4x + -2x = -6x 1 + -6x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -6x = -7 + 0 1 + -6x = -7 Add '-1' to each side of the equation. 1 + -1 + -6x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -7 + -1 -6x = -7 + -1 Combine like terms: -7 + -1 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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