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Simplifying 7x + -12 = -7x + 4(3x + -6) Reorder the terms: -12 + 7x = -7x + 4(3x + -6) Reorder the terms: -12 + 7x = -7x + 4(-6 + 3x) -12 + 7x = -7x + (-6 * 4 + 3x * 4) -12 + 7x = -7x + (-24 + 12x) Reorder the terms: -12 + 7x = -24 + -7x + 12x Combine like terms: -7x + 12x = 5x -12 + 7x = -24 + 5x Solving -12 + 7x = -24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 7x + -5x = -24 + 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = -24 + 0 -12 + 2x = -24 Add '12' to each side of the equation. -12 + 12 + 2x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -24 + 12 2x = -24 + 12 Combine like terms: -24 + 12 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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