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Simplifying 6x + 7(x + -4) + 12 = -55 Reorder the terms: 6x + 7(-4 + x) + 12 = -55 6x + (-4 * 7 + x * 7) + 12 = -55 6x + (-28 + 7x) + 12 = -55 Reorder the terms: -28 + 12 + 6x + 7x = -55 Combine like terms: -28 + 12 = -16 -16 + 6x + 7x = -55 Combine like terms: 6x + 7x = 13x -16 + 13x = -55 Solving -16 + 13x = -55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 13x = -55 + 16 Combine like terms: -16 + 16 = 0 0 + 13x = -55 + 16 13x = -55 + 16 Combine like terms: -55 + 16 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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