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Simplifying 4x + 1 = -2x + 8 Reorder the terms: 1 + 4x = -2x + 8 Reorder the terms: 1 + 4x = 8 + -2x Solving 1 + 4x = 8 + -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 = 8 + -2x + 2x Combine like terms: 4x + 2x = 6x 1 + 6x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 6x = 8 + 0 1 + 6x = 8 Add '-1' to each side of the equation. 1 + -1 + 6x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 8 + -1 6x = 8 + -1 Combine like terms: 8 + -1 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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