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Simplifying X + -2(1 + 3x) = 7x + -4(2 + -3x) + -18 X + (1 * -2 + 3x * -2) = 7x + -4(2 + -3x) + -18 X + (-2 + -6x) = 7x + -4(2 + -3x) + -18 Reorder the terms: -2 + X + -6x = 7x + -4(2 + -3x) + -18 -2 + X + -6x = 7x + (2 * -4 + -3x * -4) + -18 -2 + X + -6x = 7x + (-8 + 12x) + -18 Reorder the terms: -2 + X + -6x = -8 + -18 + 7x + 12x Combine like terms: -8 + -18 = -26 -2 + X + -6x = -26 + 7x + 12x Combine like terms: 7x + 12x = 19x -2 + X + -6x = -26 + 19x Solving -2 + X + -6x = -26 + 19x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + X + 2 + -6x = -26 + 2 + 19x Reorder the terms: -2 + 2 + X + -6x = -26 + 2 + 19x Combine like terms: -2 + 2 = 0 0 + X + -6x = -26 + 2 + 19x X + -6x = -26 + 2 + 19x Combine like terms: -26 + 2 = -24 X + -6x = -24 + 19x Add '6x' to each side of the equation. X + -6x + 6x = -24 + 19x + 6x Combine like terms: -6x + 6x = 0 X + 0 = -24 + 19x + 6x X = -24 + 19x + 6x Combine like terms: 19x + 6x = 25x X = -24 + 25x Simplifying X = -24 + 25x
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