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Simplifying 12 + -7(x + -4) + x = -2 Reorder the terms: 12 + -7(-4 + x) + x = -2 12 + (-4 * -7 + x * -7) + x = -2 12 + (28 + -7x) + x = -2 Combine like terms: 12 + 28 = 40 40 + -7x + x = -2 Combine like terms: -7x + x = -6x 40 + -6x = -2 Solving 40 + -6x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -6x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -6x = -2 + -40 -6x = -2 + -40 Combine like terms: -2 + -40 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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