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Simplifying -2(-4 + 8x) + 6 = -40 + 2x (-4 * -2 + 8x * -2) + 6 = -40 + 2x (8 + -16x) + 6 = -40 + 2x Reorder the terms: 8 + 6 + -16x = -40 + 2x Combine like terms: 8 + 6 = 14 14 + -16x = -40 + 2x Solving 14 + -16x = -40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + -16x + -2x = -40 + 2x + -2x Combine like terms: -16x + -2x = -18x 14 + -18x = -40 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -18x = -40 + 0 14 + -18x = -40 Add '-14' to each side of the equation. 14 + -14 + -18x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -18x = -40 + -14 -18x = -40 + -14 Combine like terms: -40 + -14 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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