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Simplifying 5(3x + 4) + -2x = 7 + -3(-2x + 11) Reorder the terms: 5(4 + 3x) + -2x = 7 + -3(-2x + 11) (4 * 5 + 3x * 5) + -2x = 7 + -3(-2x + 11) (20 + 15x) + -2x = 7 + -3(-2x + 11) Combine like terms: 15x + -2x = 13x 20 + 13x = 7 + -3(-2x + 11) Reorder the terms: 20 + 13x = 7 + -3(11 + -2x) 20 + 13x = 7 + (11 * -3 + -2x * -3) 20 + 13x = 7 + (-33 + 6x) Combine like terms: 7 + -33 = -26 20 + 13x = -26 + 6x Solving 20 + 13x = -26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 13x + -6x = -26 + 6x + -6x Combine like terms: 13x + -6x = 7x 20 + 7x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 7x = -26 + 0 20 + 7x = -26 Add '-20' to each side of the equation. 20 + -20 + 7x = -26 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = -26 + -20 7x = -26 + -20 Combine like terms: -26 + -20 = -46 7x = -46 Divide each side by '7'. x = -6.571428571 Simplifying x = -6.571428571
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