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Simplifying -6(6 + -1x) + 4 = 12 + -8(x + 2) (6 * -6 + -1x * -6) + 4 = 12 + -8(x + 2) (-36 + 6x) + 4 = 12 + -8(x + 2) Reorder the terms: -36 + 4 + 6x = 12 + -8(x + 2) Combine like terms: -36 + 4 = -32 -32 + 6x = 12 + -8(x + 2) Reorder the terms: -32 + 6x = 12 + -8(2 + x) -32 + 6x = 12 + (2 * -8 + x * -8) -32 + 6x = 12 + (-16 + -8x) Combine like terms: 12 + -16 = -4 -32 + 6x = -4 + -8x Solving -32 + 6x = -4 + -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. -32 + 6x + 8x = -4 + -8x + 8x Combine like terms: 6x + 8x = 14x -32 + 14x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + 14x = -4 + 0 -32 + 14x = -4 Add '32' to each side of the equation. -32 + 32 + 14x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 14x = -4 + 32 14x = -4 + 32 Combine like terms: -4 + 32 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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