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Simplifying -1(4x + -18) + 4(4 + -2x) + -2(3x + -1) = 0 Reorder the terms: -1(-18 + 4x) + 4(4 + -2x) + -2(3x + -1) = 0 (-18 * -1 + 4x * -1) + 4(4 + -2x) + -2(3x + -1) = 0 (18 + -4x) + 4(4 + -2x) + -2(3x + -1) = 0 18 + -4x + (4 * 4 + -2x * 4) + -2(3x + -1) = 0 18 + -4x + (16 + -8x) + -2(3x + -1) = 0 Reorder the terms: 18 + -4x + 16 + -8x + -2(-1 + 3x) = 0 18 + -4x + 16 + -8x + (-1 * -2 + 3x * -2) = 0 18 + -4x + 16 + -8x + (2 + -6x) = 0 Reorder the terms: 18 + 16 + 2 + -4x + -8x + -6x = 0 Combine like terms: 18 + 16 = 34 34 + 2 + -4x + -8x + -6x = 0 Combine like terms: 34 + 2 = 36 36 + -4x + -8x + -6x = 0 Combine like terms: -4x + -8x = -12x 36 + -12x + -6x = 0 Combine like terms: -12x + -6x = -18x 36 + -18x = 0 Solving 36 + -18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -18x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -18x = 0 + -36 -18x = 0 + -36 Combine like terms: 0 + -36 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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