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Simplifying -2x + -2(1 + 8x) = -4(x + 4) -2x + (1 * -2 + 8x * -2) = -4(x + 4) -2x + (-2 + -16x) = -4(x + 4) Reorder the terms: -2 + -2x + -16x = -4(x + 4) Combine like terms: -2x + -16x = -18x -2 + -18x = -4(x + 4) Reorder the terms: -2 + -18x = -4(4 + x) -2 + -18x = (4 * -4 + x * -4) -2 + -18x = (-16 + -4x) Solving -2 + -18x = -16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -18x + 4x = -16 + -4x + 4x Combine like terms: -18x + 4x = -14x -2 + -14x = -16 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -14x = -16 + 0 -2 + -14x = -16 Add '2' to each side of the equation. -2 + 2 + -14x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = -16 + 2 -14x = -16 + 2 Combine like terms: -16 + 2 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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