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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) Reorder the terms: -44 + -28x = 2(10 + 2 + -19x) Combine like terms: 10 + 2 = 12 -44 + -28x = 2(12 + -19x) -44 + -28x = (12 * 2 + -19x * 2) -44 + -28x = (24 + -38x) Solving -44 + -28x = 24 + -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 = 24 + -38x + 38x Combine like terms: -28x + 38x = 10x -44 + 10x = 24 + -38x + 38x Combine like terms: -38x + 38x = 0 -44 + 10x = 24 + 0 -44 + 10x = 24 Add '44' to each side of the equation. -44 + 44 + 10x = 24 + 44 Combine like terms: -44 + 44 = 0 0 + 10x = 24 + 44 10x = 24 + 44 Combine like terms: 24 + 44 = 68 10x = 68 Divide each side by '10'. x = 6.8 Simplifying x = 6.8
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