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Simplifying -7(x + -2) = -4 + -6(x + -1) Reorder the terms: -7(-2 + x) = -4 + -6(x + -1) (-2 * -7 + x * -7) = -4 + -6(x + -1) (14 + -7x) = -4 + -6(x + -1) Reorder the terms: 14 + -7x = -4 + -6(-1 + x) 14 + -7x = -4 + (-1 * -6 + x * -6) 14 + -7x = -4 + (6 + -6x) Combine like terms: -4 + 6 = 2 14 + -7x = 2 + -6x Solving 14 + -7x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + -7x + 6x = 2 + -6x + 6x Combine like terms: -7x + 6x = -1x 14 + -1x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + -1x = 2 + 0 14 + -1x = 2 Add '-14' to each side of the equation. 14 + -14 + -1x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 2 + -14 -1x = 2 + -14 Combine like terms: 2 + -14 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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