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