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Simplifying 3 + 4(2x + 5) = 24 + 6x + -3 Reorder the terms: 3 + 4(5 + 2x) = 24 + 6x + -3 3 + (5 * 4 + 2x * 4) = 24 + 6x + -3 3 + (20 + 8x) = 24 + 6x + -3 Combine like terms: 3 + 20 = 23 23 + 8x = 24 + 6x + -3 Reorder the terms: 23 + 8x = 24 + -3 + 6x Combine like terms: 24 + -3 = 21 23 + 8x = 21 + 6x Solving 23 + 8x = 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. 23 + 8x + -6x = 21 + 6x + -6x Combine like terms: 8x + -6x = 2x 23 + 2x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + 2x = 21 + 0 23 + 2x = 21 Add '-23' to each side of the equation. 23 + -23 + 2x = 21 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 21 + -23 2x = 21 + -23 Combine like terms: 21 + -23 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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