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Simplifying -7(x + 4) + 2 = -28 + -6x Reorder the terms: -7(4 + x) + 2 = -28 + -6x (4 * -7 + x * -7) + 2 = -28 + -6x (-28 + -7x) + 2 = -28 + -6x Reorder the terms: -28 + 2 + -7x = -28 + -6x Combine like terms: -28 + 2 = -26 -26 + -7x = -28 + -6x Solving -26 + -7x = -28 + -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. -26 + -7x + 6x = -28 + -6x + 6x Combine like terms: -7x + 6x = -1x -26 + -1x = -28 + -6x + 6x Combine like terms: -6x + 6x = 0 -26 + -1x = -28 + 0 -26 + -1x = -28 Add '26' to each side of the equation. -26 + 26 + -1x = -28 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = -28 + 26 -1x = -28 + 26 Combine like terms: -28 + 26 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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