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Simplifying 6(1 + -3x) + -2(2x + -1) = -18x (1 * 6 + -3x * 6) + -2(2x + -1) = -18x (6 + -18x) + -2(2x + -1) = -18x Reorder the terms: 6 + -18x + -2(-1 + 2x) = -18x 6 + -18x + (-1 * -2 + 2x * -2) = -18x 6 + -18x + (2 + -4x) = -18x Reorder the terms: 6 + 2 + -18x + -4x = -18x Combine like terms: 6 + 2 = 8 8 + -18x + -4x = -18x Combine like terms: -18x + -4x = -22x 8 + -22x = -18x Solving 8 + -22x = -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. 8 + -22x + 18x = -18x + 18x Combine like terms: -22x + 18x = -4x 8 + -4x = -18x + 18x Combine like terms: -18x + 18x = 0 8 + -4x = 0 Add '-8' to each side of the equation. 8 + -8 + -4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 0 + -8 -4x = 0 + -8 Combine like terms: 0 + -8 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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