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Simplifying -2x + 3 = 4x + -45 Reorder the terms: 3 + -2x = 4x + -45 Reorder the terms: 3 + -2x = -45 + 4x Solving 3 + -2x = -45 + 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 = -45 + 4x + -4x Combine like terms: -2x + -4x = -6x 3 + -6x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -6x = -45 + 0 3 + -6x = -45 Add '-3' to each side of the equation. 3 + -3 + -6x = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -45 + -3 -6x = -45 + -3 Combine like terms: -45 + -3 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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