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Simplifying 4 + 5(x + 8) = 3(4x + 3) + 14 Reorder the terms: 4 + 5(8 + x) = 3(4x + 3) + 14 4 + (8 * 5 + x * 5) = 3(4x + 3) + 14 4 + (40 + 5x) = 3(4x + 3) + 14 Combine like terms: 4 + 40 = 44 44 + 5x = 3(4x + 3) + 14 Reorder the terms: 44 + 5x = 3(3 + 4x) + 14 44 + 5x = (3 * 3 + 4x * 3) + 14 44 + 5x = (9 + 12x) + 14 Reorder the terms: 44 + 5x = 9 + 14 + 12x Combine like terms: 9 + 14 = 23 44 + 5x = 23 + 12x Solving 44 + 5x = 23 + 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. 44 + 5x + -12x = 23 + 12x + -12x Combine like terms: 5x + -12x = -7x 44 + -7x = 23 + 12x + -12x Combine like terms: 12x + -12x = 0 44 + -7x = 23 + 0 44 + -7x = 23 Add '-44' to each side of the equation. 44 + -44 + -7x = 23 + -44 Combine like terms: 44 + -44 = 0 0 + -7x = 23 + -44 -7x = 23 + -44 Combine like terms: 23 + -44 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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