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Simplifying -1(6x + 8) + 7x = -2(12 + 4x) Reorder the terms: -1(8 + 6x) + 7x = -2(12 + 4x) (8 * -1 + 6x * -1) + 7x = -2(12 + 4x) (-8 + -6x) + 7x = -2(12 + 4x) Combine like terms: -6x + 7x = 1x -8 + 1x = -2(12 + 4x) -8 + 1x = (12 * -2 + 4x * -2) -8 + 1x = (-24 + -8x) Solving -8 + 1x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 1x + 8x = -24 + -8x + 8x Combine like terms: 1x + 8x = 9x -8 + 9x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 9x = -24 + 0 -8 + 9x = -24 Add '8' to each side of the equation. -8 + 8 + 9x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = -24 + 8 9x = -24 + 8 Combine like terms: -24 + 8 = -16 9x = -16 Divide each side by '9'. x = -1.777777778 Simplifying x = -1.777777778
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