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Simplifying 3x + 4 = 2 + -4(x + 3) Reorder the terms: 4 + 3x = 2 + -4(x + 3) Reorder the terms: 4 + 3x = 2 + -4(3 + x) 4 + 3x = 2 + (3 * -4 + x * -4) 4 + 3x = 2 + (-12 + -4x) Combine like terms: 2 + -12 = -10 4 + 3x = -10 + -4x Solving 4 + 3x = -10 + -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. 4 + 3x + 4x = -10 + -4x + 4x Combine like terms: 3x + 4x = 7x 4 + 7x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 7x = -10 + 0 4 + 7x = -10 Add '-4' to each side of the equation. 4 + -4 + 7x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = -10 + -4 7x = -10 + -4 Combine like terms: -10 + -4 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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