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Simplifying -8(x + -2) + 4(3 + -6x) = -36 Reorder the terms: -8(-2 + x) + 4(3 + -6x) = -36 (-2 * -8 + x * -8) + 4(3 + -6x) = -36 (16 + -8x) + 4(3 + -6x) = -36 16 + -8x + (3 * 4 + -6x * 4) = -36 16 + -8x + (12 + -24x) = -36 Reorder the terms: 16 + 12 + -8x + -24x = -36 Combine like terms: 16 + 12 = 28 28 + -8x + -24x = -36 Combine like terms: -8x + -24x = -32x 28 + -32x = -36 Solving 28 + -32x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -32x = -36 + -28 Combine like terms: 28 + -28 = 0 0 + -32x = -36 + -28 -32x = -36 + -28 Combine like terms: -36 + -28 = -64 -32x = -64 Divide each side by '-32'. x = 2 Simplifying x = 2
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