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Simplifying 6x + -5(-8 + 2x) = 8 + -5(2 + -2x) 6x + (-8 * -5 + 2x * -5) = 8 + -5(2 + -2x) 6x + (40 + -10x) = 8 + -5(2 + -2x) Reorder the terms: 40 + 6x + -10x = 8 + -5(2 + -2x) Combine like terms: 6x + -10x = -4x 40 + -4x = 8 + -5(2 + -2x) 40 + -4x = 8 + (2 * -5 + -2x * -5) 40 + -4x = 8 + (-10 + 10x) Combine like terms: 8 + -10 = -2 40 + -4x = -2 + 10x Solving 40 + -4x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 40 + -4x + -10x = -2 + 10x + -10x Combine like terms: -4x + -10x = -14x 40 + -14x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -14x = -2 + 0 40 + -14x = -2 Add '-40' to each side of the equation. 40 + -40 + -14x = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -14x = -2 + -40 -14x = -2 + -40 Combine like terms: -2 + -40 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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