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Simplifying -2(2 + 8x) + 4x = 6x + -40 (2 * -2 + 8x * -2) + 4x = 6x + -40 (-4 + -16x) + 4x = 6x + -40 Combine like terms: -16x + 4x = -12x -4 + -12x = 6x + -40 Reorder the terms: -4 + -12x = -40 + 6x Solving -4 + -12x = -40 + 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. -4 + -12x + -6x = -40 + 6x + -6x Combine like terms: -12x + -6x = -18x -4 + -18x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -18x = -40 + 0 -4 + -18x = -40 Add '4' to each side of the equation. -4 + 4 + -18x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = -40 + 4 -18x = -40 + 4 Combine like terms: -40 + 4 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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