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Simplifying -2x + 3 = 4x + 75 Reorder the terms: 3 + -2x = 4x + 75 Reorder the terms: 3 + -2x = 75 + 4x Solving 3 + -2x = 75 + 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. 3 + -2x + -4x = 75 + 4x + -4x Combine like terms: -2x + -4x = -6x 3 + -6x = 75 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -6x = 75 + 0 3 + -6x = 75 Add '-3' to each side of the equation. 3 + -3 + -6x = 75 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 75 + -3 -6x = 75 + -3 Combine like terms: 75 + -3 = 72 -6x = 72 Divide each side by '-6'. x = -12 Simplifying x = -12
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