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Simplifying 3(x + 4) + 1 = -4(x + 2) Reorder the terms: 3(4 + x) + 1 = -4(x + 2) (4 * 3 + x * 3) + 1 = -4(x + 2) (12 + 3x) + 1 = -4(x + 2) Reorder the terms: 12 + 1 + 3x = -4(x + 2) Combine like terms: 12 + 1 = 13 13 + 3x = -4(x + 2) Reorder the terms: 13 + 3x = -4(2 + x) 13 + 3x = (2 * -4 + x * -4) 13 + 3x = (-8 + -4x) Solving 13 + 3x = -8 + -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. 13 + 3x + 4x = -8 + -4x + 4x Combine like terms: 3x + 4x = 7x 13 + 7x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 7x = -8 + 0 13 + 7x = -8 Add '-13' to each side of the equation. 13 + -13 + 7x = -8 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -8 + -13 7x = -8 + -13 Combine like terms: -8 + -13 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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