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