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Simplifying X + 3(1 + -6x) = 1 + -1(x + 2) X + (1 * 3 + -6x * 3) = 1 + -1(x + 2) X + (3 + -18x) = 1 + -1(x + 2) Reorder the terms: 3 + X + -18x = 1 + -1(x + 2) Reorder the terms: 3 + X + -18x = 1 + -1(2 + x) 3 + X + -18x = 1 + (2 * -1 + x * -1) 3 + X + -18x = 1 + (-2 + -1x) Combine like terms: 1 + -2 = -1 3 + X + -18x = -1 + -1x Solving 3 + X + -18x = -1 + -1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X + -3 + -18x = -1 + -3 + -1x Reorder the terms: 3 + -3 + X + -18x = -1 + -3 + -1x Combine like terms: 3 + -3 = 0 0 + X + -18x = -1 + -3 + -1x X + -18x = -1 + -3 + -1x Combine like terms: -1 + -3 = -4 X + -18x = -4 + -1x Add '18x' to each side of the equation. X + -18x + 18x = -4 + -1x + 18x Combine like terms: -18x + 18x = 0 X + 0 = -4 + -1x + 18x X = -4 + -1x + 18x Combine like terms: -1x + 18x = 17x X = -4 + 17x Simplifying X = -4 + 17x
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