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Simplifying 5(4x + 6) = -21 + 3x Reorder the terms: 5(6 + 4x) = -21 + 3x (6 * 5 + 4x * 5) = -21 + 3x (30 + 20x) = -21 + 3x Solving 30 + 20x = -21 + 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. 30 + 20x + -3x = -21 + 3x + -3x Combine like terms: 20x + -3x = 17x 30 + 17x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 17x = -21 + 0 30 + 17x = -21 Add '-30' to each side of the equation. 30 + -30 + 17x = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 17x = -21 + -30 17x = -21 + -30 Combine like terms: -21 + -30 = -51 17x = -51 Divide each side by '17'. x = -3 Simplifying x = -3
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