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Simplifying 16(x + -1) = -1(26 + -17x) Reorder the terms: 16(-1 + x) = -1(26 + -17x) (-1 * 16 + x * 16) = -1(26 + -17x) (-16 + 16x) = -1(26 + -17x) -16 + 16x = (26 * -1 + -17x * -1) -16 + 16x = (-26 + 17x) Solving -16 + 16x = -26 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -16 + 16x + -17x = -26 + 17x + -17x Combine like terms: 16x + -17x = -1x -16 + -1x = -26 + 17x + -17x Combine like terms: 17x + -17x = 0 -16 + -1x = -26 + 0 -16 + -1x = -26 Add '16' to each side of the equation. -16 + 16 + -1x = -26 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -26 + 16 -1x = -26 + 16 Combine like terms: -26 + 16 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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