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Simplifying 8x + -1(4x + 2) = 6x + -36 Reorder the terms: 8x + -1(2 + 4x) = 6x + -36 8x + (2 * -1 + 4x * -1) = 6x + -36 8x + (-2 + -4x) = 6x + -36 Reorder the terms: -2 + 8x + -4x = 6x + -36 Combine like terms: 8x + -4x = 4x -2 + 4x = 6x + -36 Reorder the terms: -2 + 4x = -36 + 6x Solving -2 + 4x = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 4x + -6x = -36 + 6x + -6x Combine like terms: 4x + -6x = -2x -2 + -2x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -2x = -36 + 0 -2 + -2x = -36 Add '2' to each side of the equation. -2 + 2 + -2x = -36 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -36 + 2 -2x = -36 + 2 Combine like terms: -36 + 2 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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