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Simplifying 5(6x + 4) + 1 = 21 + -3x Reorder the terms: 5(4 + 6x) + 1 = 21 + -3x (4 * 5 + 6x * 5) + 1 = 21 + -3x (20 + 30x) + 1 = 21 + -3x Reorder the terms: 20 + 1 + 30x = 21 + -3x Combine like terms: 20 + 1 = 21 21 + 30x = 21 + -3x Add '-21' to each side of the equation. 21 + -21 + 30x = 21 + -21 + -3x Combine like terms: 21 + -21 = 0 0 + 30x = 21 + -21 + -3x 30x = 21 + -21 + -3x Combine like terms: 21 + -21 = 0 30x = 0 + -3x 30x = -3x Solving 30x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30x + 3x = -3x + 3x Combine like terms: 30x + 3x = 33x 33x = -3x + 3x Combine like terms: -3x + 3x = 0 33x = 0 Divide each side by '33'. x = 0 Simplifying x = 0
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