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Simplifying -4(7x + 11) = 2(10 + -19x) + 2 Reorder the terms: -4(11 + 7x) = 2(10 + -19x) + 2 (11 * -4 + 7x * -4) = 2(10 + -19x) + 2 (-44 + -28x) = 2(10 + -19x) + 2 -44 + -28x = (10 * 2 + -19x * 2) + 2 -44 + -28x = (20 + -38x) + 2 Reorder the terms: -44 + -28x = 20 + 2 + -38x Combine like terms: 20 + 2 = 22 -44 + -28x = 22 + -38x Solving -44 + -28x = 22 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. -44 + -28x + 38x = 22 + -38x + 38x Combine like terms: -28x + 38x = 10x -44 + 10x = 22 + -38x + 38x Combine like terms: -38x + 38x = 0 -44 + 10x = 22 + 0 -44 + 10x = 22 Add '44' to each side of the equation. -44 + 44 + 10x = 22 + 44 Combine like terms: -44 + 44 = 0 0 + 10x = 22 + 44 10x = 22 + 44 Combine like terms: 22 + 44 = 66 10x = 66 Divide each side by '10'. x = 6.6 Simplifying x = 6.6
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