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Simplifying 2x + -1 = 55 + -1(4x + -2) Reorder the terms: -1 + 2x = 55 + -1(4x + -2) Reorder the terms: -1 + 2x = 55 + -1(-2 + 4x) -1 + 2x = 55 + (-2 * -1 + 4x * -1) -1 + 2x = 55 + (2 + -4x) Combine like terms: 55 + 2 = 57 -1 + 2x = 57 + -4x Solving -1 + 2x = 57 + -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 = 57 + -4x + 4x Combine like terms: 2x + 4x = 6x -1 + 6x = 57 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 6x = 57 + 0 -1 + 6x = 57 Add '1' to each side of the equation. -1 + 1 + 6x = 57 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 57 + 1 6x = 57 + 1 Combine like terms: 57 + 1 = 58 6x = 58 Divide each side by '6'. x = 9.666666667 Simplifying x = 9.666666667
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