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Simplifying 7x + 2(-1 + -8x) = -18 + 7x 7x + (-1 * 2 + -8x * 2) = -18 + 7x 7x + (-2 + -16x) = -18 + 7x Reorder the terms: -2 + 7x + -16x = -18 + 7x Combine like terms: 7x + -16x = -9x -2 + -9x = -18 + 7x Solving -2 + -9x = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -9x + -7x = -18 + 7x + -7x Combine like terms: -9x + -7x = -16x -2 + -16x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -16x = -18 + 0 -2 + -16x = -18 Add '2' to each side of the equation. -2 + 2 + -16x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = -18 + 2 -16x = -18 + 2 Combine like terms: -18 + 2 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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