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Simplifying 3(1 + -6x) + -9(1 + -2x) = -2x + 5x (1 * 3 + -6x * 3) + -9(1 + -2x) = -2x + 5x (3 + -18x) + -9(1 + -2x) = -2x + 5x 3 + -18x + (1 * -9 + -2x * -9) = -2x + 5x 3 + -18x + (-9 + 18x) = -2x + 5x Reorder the terms: 3 + -9 + -18x + 18x = -2x + 5x Combine like terms: 3 + -9 = -6 -6 + -18x + 18x = -2x + 5x Combine like terms: -18x + 18x = 0 -6 + 0 = -2x + 5x -6 = -2x + 5x Combine like terms: -2x + 5x = 3x -6 = 3x Solving -6 = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -3x = 0 Add '6' to each side of the equation. -6 + 6 + -3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 0 + 6 -3x = 0 + 6 Combine like terms: 0 + 6 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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