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Simplifying -7(10 + -1x) = 2(11 + -4x) (10 * -7 + -1x * -7) = 2(11 + -4x) (-70 + 7x) = 2(11 + -4x) -70 + 7x = (11 * 2 + -4x * 2) -70 + 7x = (22 + -8x) Solving -70 + 7x = 22 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -70 + 7x + 8x = 22 + -8x + 8x Combine like terms: 7x + 8x = 15x -70 + 15x = 22 + -8x + 8x Combine like terms: -8x + 8x = 0 -70 + 15x = 22 + 0 -70 + 15x = 22 Add '70' to each side of the equation. -70 + 70 + 15x = 22 + 70 Combine like terms: -70 + 70 = 0 0 + 15x = 22 + 70 15x = 22 + 70 Combine like terms: 22 + 70 = 92 15x = 92 Divide each side by '15'. x = 6.133333333 Simplifying x = 6.133333333
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