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Simplifying 50 + -2(3x + -4) = 5(7x + -2) Reorder the terms: 50 + -2(-4 + 3x) = 5(7x + -2) 50 + (-4 * -2 + 3x * -2) = 5(7x + -2) 50 + (8 + -6x) = 5(7x + -2) Combine like terms: 50 + 8 = 58 58 + -6x = 5(7x + -2) Reorder the terms: 58 + -6x = 5(-2 + 7x) 58 + -6x = (-2 * 5 + 7x * 5) 58 + -6x = (-10 + 35x) Solving 58 + -6x = -10 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 58 + -6x + -35x = -10 + 35x + -35x Combine like terms: -6x + -35x = -41x 58 + -41x = -10 + 35x + -35x Combine like terms: 35x + -35x = 0 58 + -41x = -10 + 0 58 + -41x = -10 Add '-58' to each side of the equation. 58 + -58 + -41x = -10 + -58 Combine like terms: 58 + -58 = 0 0 + -41x = -10 + -58 -41x = -10 + -58 Combine like terms: -10 + -58 = -68 -41x = -68 Divide each side by '-41'. x = 1.658536585 Simplifying x = 1.658536585
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