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Simplifying 7(x + -4) + 2 = -1(x + -6) Reorder the terms: 7(-4 + x) + 2 = -1(x + -6) (-4 * 7 + x * 7) + 2 = -1(x + -6) (-28 + 7x) + 2 = -1(x + -6) Reorder the terms: -28 + 2 + 7x = -1(x + -6) Combine like terms: -28 + 2 = -26 -26 + 7x = -1(x + -6) Reorder the terms: -26 + 7x = -1(-6 + x) -26 + 7x = (-6 * -1 + x * -1) -26 + 7x = (6 + -1x) Solving -26 + 7x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -26 + 7x + x = 6 + -1x + x Combine like terms: 7x + x = 8x -26 + 8x = 6 + -1x + x Combine like terms: -1x + x = 0 -26 + 8x = 6 + 0 -26 + 8x = 6 Add '26' to each side of the equation. -26 + 26 + 8x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 6 + 26 8x = 6 + 26 Combine like terms: 6 + 26 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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