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Simplifying 4(x + 3) + 2 = 2(x + -3) Reorder the terms: 4(3 + x) + 2 = 2(x + -3) (3 * 4 + x * 4) + 2 = 2(x + -3) (12 + 4x) + 2 = 2(x + -3) Reorder the terms: 12 + 2 + 4x = 2(x + -3) Combine like terms: 12 + 2 = 14 14 + 4x = 2(x + -3) Reorder the terms: 14 + 4x = 2(-3 + x) 14 + 4x = (-3 * 2 + x * 2) 14 + 4x = (-6 + 2x) Solving 14 + 4x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + 4x + -2x = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = -6 + 0 14 + 2x = -6 Add '-14' to each side of the equation. 14 + -14 + 2x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = -6 + -14 2x = -6 + -14 Combine like terms: -6 + -14 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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