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Simplifying -45 + 4x = -2x + 51 Reorder the terms: -45 + 4x = 51 + -2x Solving -45 + 4x = 51 + -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. -45 + 4x + 2x = 51 + -2x + 2x Combine like terms: 4x + 2x = 6x -45 + 6x = 51 + -2x + 2x Combine like terms: -2x + 2x = 0 -45 + 6x = 51 + 0 -45 + 6x = 51 Add '45' to each side of the equation. -45 + 45 + 6x = 51 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 51 + 45 6x = 51 + 45 Combine like terms: 51 + 45 = 96 6x = 96 Divide each side by '6'. x = 16 Simplifying x = 16
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