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Simplifying 6(-4x + 5) + -2 = -36 + -8x Reorder the terms: 6(5 + -4x) + -2 = -36 + -8x (5 * 6 + -4x * 6) + -2 = -36 + -8x (30 + -24x) + -2 = -36 + -8x Reorder the terms: 30 + -2 + -24x = -36 + -8x Combine like terms: 30 + -2 = 28 28 + -24x = -36 + -8x Solving 28 + -24x = -36 + -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. 28 + -24x + 8x = -36 + -8x + 8x Combine like terms: -24x + 8x = -16x 28 + -16x = -36 + -8x + 8x Combine like terms: -8x + 8x = 0 28 + -16x = -36 + 0 28 + -16x = -36 Add '-28' to each side of the equation. 28 + -28 + -16x = -36 + -28 Combine like terms: 28 + -28 = 0 0 + -16x = -36 + -28 -16x = -36 + -28 Combine like terms: -36 + -28 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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