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Simplifying 2x(7 + -2x) + 5x(8 + -1x) = 3x(5 + -3x) + -26 (7 * 2x + -2x * 2x) + 5x(8 + -1x) = 3x(5 + -3x) + -26 (14x + -4x2) + 5x(8 + -1x) = 3x(5 + -3x) + -26 14x + -4x2 + (8 * 5x + -1x * 5x) = 3x(5 + -3x) + -26 14x + -4x2 + (40x + -5x2) = 3x(5 + -3x) + -26 Reorder the terms: 14x + 40x + -4x2 + -5x2 = 3x(5 + -3x) + -26 Combine like terms: 14x + 40x = 54x 54x + -4x2 + -5x2 = 3x(5 + -3x) + -26 Combine like terms: -4x2 + -5x2 = -9x2 54x + -9x2 = 3x(5 + -3x) + -26 54x + -9x2 = (5 * 3x + -3x * 3x) + -26 54x + -9x2 = (15x + -9x2) + -26 Reorder the terms: 54x + -9x2 = -26 + 15x + -9x2 Add '9x2' to each side of the equation. 54x + -9x2 + 9x2 = -26 + 15x + -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 54x + 0 = -26 + 15x + -9x2 + 9x2 54x = -26 + 15x + -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 54x = -26 + 15x + 0 54x = -26 + 15x Solving 54x = -26 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 54x + -15x = -26 + 15x + -15x Combine like terms: 54x + -15x = 39x 39x = -26 + 15x + -15x Combine like terms: 15x + -15x = 0 39x = -26 + 0 39x = -26 Divide each side by '39'. x = -0.6666666667 Simplifying x = -0.6666666667
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