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Simplifying -36 + 8x = 6(4x + 2) Reorder the terms: -36 + 8x = 6(2 + 4x) -36 + 8x = (2 * 6 + 4x * 6) -36 + 8x = (12 + 24x) Solving -36 + 8x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -36 + 8x + -24x = 12 + 24x + -24x Combine like terms: 8x + -24x = -16x -36 + -16x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -36 + -16x = 12 + 0 -36 + -16x = 12 Add '36' to each side of the equation. -36 + 36 + -16x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + -16x = 12 + 36 -16x = 12 + 36 Combine like terms: 12 + 36 = 48 -16x = 48 Divide each side by '-16'. x = -3 Simplifying x = -3
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