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Simplifying 4x + 12 + 3x + 15 = 5(x + 7) Reorder the terms: 12 + 15 + 4x + 3x = 5(x + 7) Combine like terms: 12 + 15 = 27 27 + 4x + 3x = 5(x + 7) Combine like terms: 4x + 3x = 7x 27 + 7x = 5(x + 7) Reorder the terms: 27 + 7x = 5(7 + x) 27 + 7x = (7 * 5 + x * 5) 27 + 7x = (35 + 5x) Solving 27 + 7x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 7x + -5x = 35 + 5x + -5x Combine like terms: 7x + -5x = 2x 27 + 2x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 2x = 35 + 0 27 + 2x = 35 Add '-27' to each side of the equation. 27 + -27 + 2x = 35 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 35 + -27 2x = 35 + -27 Combine like terms: 35 + -27 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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