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Simplifying 8x + -1(5x + 2) = 7(2x + -10) Reorder the terms: 8x + -1(2 + 5x) = 7(2x + -10) 8x + (2 * -1 + 5x * -1) = 7(2x + -10) 8x + (-2 + -5x) = 7(2x + -10) Reorder the terms: -2 + 8x + -5x = 7(2x + -10) Combine like terms: 8x + -5x = 3x -2 + 3x = 7(2x + -10) Reorder the terms: -2 + 3x = 7(-10 + 2x) -2 + 3x = (-10 * 7 + 2x * 7) -2 + 3x = (-70 + 14x) Solving -2 + 3x = -70 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -2 + 3x + -14x = -70 + 14x + -14x Combine like terms: 3x + -14x = -11x -2 + -11x = -70 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -11x = -70 + 0 -2 + -11x = -70 Add '2' to each side of the equation. -2 + 2 + -11x = -70 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = -70 + 2 -11x = -70 + 2 Combine like terms: -70 + 2 = -68 -11x = -68 Divide each side by '-11'. x = 6.181818182 Simplifying x = 6.181818182
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