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Simplifying 8 + -3(2x + -4) = 7x + 2(5x + -3) Reorder the terms: 8 + -3(-4 + 2x) = 7x + 2(5x + -3) 8 + (-4 * -3 + 2x * -3) = 7x + 2(5x + -3) 8 + (12 + -6x) = 7x + 2(5x + -3) Combine like terms: 8 + 12 = 20 20 + -6x = 7x + 2(5x + -3) Reorder the terms: 20 + -6x = 7x + 2(-3 + 5x) 20 + -6x = 7x + (-3 * 2 + 5x * 2) 20 + -6x = 7x + (-6 + 10x) Reorder the terms: 20 + -6x = -6 + 7x + 10x Combine like terms: 7x + 10x = 17x 20 + -6x = -6 + 17x Solving 20 + -6x = -6 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 20 + -6x + -17x = -6 + 17x + -17x Combine like terms: -6x + -17x = -23x 20 + -23x = -6 + 17x + -17x Combine like terms: 17x + -17x = 0 20 + -23x = -6 + 0 20 + -23x = -6 Add '-20' to each side of the equation. 20 + -20 + -23x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -23x = -6 + -20 -23x = -6 + -20 Combine like terms: -6 + -20 = -26 -23x = -26 Divide each side by '-23'. x = 1.130434783 Simplifying x = 1.130434783
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