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Simplifying 7x + -12 = 4(x + 6) Reorder the terms: -12 + 7x = 4(x + 6) Reorder the terms: -12 + 7x = 4(6 + x) -12 + 7x = (6 * 4 + x * 4) -12 + 7x = (24 + 4x) Solving -12 + 7x = 24 + 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. -12 + 7x + -4x = 24 + 4x + -4x Combine like terms: 7x + -4x = 3x -12 + 3x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 3x = 24 + 0 -12 + 3x = 24 Add '12' to each side of the equation. -12 + 12 + 3x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 24 + 12 3x = 24 + 12 Combine like terms: 24 + 12 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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