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Simplifying -4x + 5 = -6x + 21 Reorder the terms: 5 + -4x = -6x + 21 Reorder the terms: 5 + -4x = 21 + -6x Solving 5 + -4x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + -4x + 6x = 21 + -6x + 6x Combine like terms: -4x + 6x = 2x 5 + 2x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 2x = 21 + 0 5 + 2x = 21 Add '-5' to each side of the equation. 5 + -5 + 2x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 21 + -5 2x = 21 + -5 Combine like terms: 21 + -5 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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