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Simplifying 3x + 2 = -4(x + 3) Reorder the terms: 2 + 3x = -4(x + 3) Reorder the terms: 2 + 3x = -4(3 + x) 2 + 3x = (3 * -4 + x * -4) 2 + 3x = (-12 + -4x) Solving 2 + 3x = -12 + -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. 2 + 3x + 4x = -12 + -4x + 4x Combine like terms: 3x + 4x = 7x 2 + 7x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 7x = -12 + 0 2 + 7x = -12 Add '-2' to each side of the equation. 2 + -2 + 7x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -12 + -2 7x = -12 + -2 Combine like terms: -12 + -2 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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