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Simplifying 4x + 6 = -5 + 2x + 21 Reorder the terms: 6 + 4x = -5 + 2x + 21 Reorder the terms: 6 + 4x = -5 + 21 + 2x Combine like terms: -5 + 21 = 16 6 + 4x = 16 + 2x Solving 6 + 4x = 16 + 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. 6 + 4x + -2x = 16 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = 16 + 0 6 + 2x = 16 Add '-6' to each side of the equation. 6 + -6 + 2x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 16 + -6 2x = 16 + -6 Combine like terms: 16 + -6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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