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Simplifying 4(x + 3) = 2x + 6 + -4 Reorder the terms: 4(3 + x) = 2x + 6 + -4 (3 * 4 + x * 4) = 2x + 6 + -4 (12 + 4x) = 2x + 6 + -4 Reorder the terms: 12 + 4x = 6 + -4 + 2x Combine like terms: 6 + -4 = 2 12 + 4x = 2 + 2x Solving 12 + 4x = 2 + 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. 12 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = 2 + 0 12 + 2x = 2 Add '-12' to each side of the equation. 12 + -12 + 2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 2 + -12 2x = 2 + -12 Combine like terms: 2 + -12 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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