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Simplifying 3(x + 4) + 15 = 6 + -4x Reorder the terms: 3(4 + x) + 15 = 6 + -4x (4 * 3 + x * 3) + 15 = 6 + -4x (12 + 3x) + 15 = 6 + -4x Reorder the terms: 12 + 15 + 3x = 6 + -4x Combine like terms: 12 + 15 = 27 27 + 3x = 6 + -4x Solving 27 + 3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 27 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x 27 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 27 + 7x = 6 + 0 27 + 7x = 6 Add '-27' to each side of the equation. 27 + -27 + 7x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + 7x = 6 + -27 7x = 6 + -27 Combine like terms: 6 + -27 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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