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Simplifying 4x + 5(2x + 3) = 3(4x + 3) + 20 Reorder the terms: 4x + 5(3 + 2x) = 3(4x + 3) + 20 4x + (3 * 5 + 2x * 5) = 3(4x + 3) + 20 4x + (15 + 10x) = 3(4x + 3) + 20 Reorder the terms: 15 + 4x + 10x = 3(4x + 3) + 20 Combine like terms: 4x + 10x = 14x 15 + 14x = 3(4x + 3) + 20 Reorder the terms: 15 + 14x = 3(3 + 4x) + 20 15 + 14x = (3 * 3 + 4x * 3) + 20 15 + 14x = (9 + 12x) + 20 Reorder the terms: 15 + 14x = 9 + 20 + 12x Combine like terms: 9 + 20 = 29 15 + 14x = 29 + 12x Solving 15 + 14x = 29 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 14x + -12x = 29 + 12x + -12x Combine like terms: 14x + -12x = 2x 15 + 2x = 29 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + 2x = 29 + 0 15 + 2x = 29 Add '-15' to each side of the equation. 15 + -15 + 2x = 29 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 29 + -15 2x = 29 + -15 Combine like terms: 29 + -15 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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