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Simplifying 3(1 + -3x) + -2(2x + -1) = 5 + -1x (1 * 3 + -3x * 3) + -2(2x + -1) = 5 + -1x (3 + -9x) + -2(2x + -1) = 5 + -1x Reorder the terms: 3 + -9x + -2(-1 + 2x) = 5 + -1x 3 + -9x + (-1 * -2 + 2x * -2) = 5 + -1x 3 + -9x + (2 + -4x) = 5 + -1x Reorder the terms: 3 + 2 + -9x + -4x = 5 + -1x Combine like terms: 3 + 2 = 5 5 + -9x + -4x = 5 + -1x Combine like terms: -9x + -4x = -13x 5 + -13x = 5 + -1x Add '-5' to each side of the equation. 5 + -5 + -13x = 5 + -5 + -1x Combine like terms: 5 + -5 = 0 0 + -13x = 5 + -5 + -1x -13x = 5 + -5 + -1x Combine like terms: 5 + -5 = 0 -13x = 0 + -1x -13x = -1x Solving -13x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13x + x = -1x + x Combine like terms: -13x + x = -12x -12x = -1x + x Combine like terms: -1x + x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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