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Simplifying 5x + -2(3 + -4x) = (x + -4) + -26 5x + (3 * -2 + -4x * -2) = (x + -4) + -26 5x + (-6 + 8x) = (x + -4) + -26 Reorder the terms: -6 + 5x + 8x = (x + -4) + -26 Combine like terms: 5x + 8x = 13x -6 + 13x = (x + -4) + -26 Reorder the terms: -6 + 13x = (-4 + x) + -26 Remove parenthesis around (-4 + x) -6 + 13x = -4 + x + -26 Reorder the terms: -6 + 13x = -4 + -26 + x Combine like terms: -4 + -26 = -30 -6 + 13x = -30 + x Solving -6 + 13x = -30 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 13x + -1x = -30 + x + -1x Combine like terms: 13x + -1x = 12x -6 + 12x = -30 + x + -1x Combine like terms: x + -1x = 0 -6 + 12x = -30 + 0 -6 + 12x = -30 Add '6' to each side of the equation. -6 + 6 + 12x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -30 + 6 12x = -30 + 6 Combine like terms: -30 + 6 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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