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Simplifying -4x + 21 = 2x + -45 Reorder the terms: 21 + -4x = 2x + -45 Reorder the terms: 21 + -4x = -45 + 2x Solving 21 + -4x = -45 + 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. 21 + -4x + -2x = -45 + 2x + -2x Combine like terms: -4x + -2x = -6x 21 + -6x = -45 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -6x = -45 + 0 21 + -6x = -45 Add '-21' to each side of the equation. 21 + -21 + -6x = -45 + -21 Combine like terms: 21 + -21 = 0 0 + -6x = -45 + -21 -6x = -45 + -21 Combine like terms: -45 + -21 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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