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Simplifying -4(-7x + 6) + 5(1 + 2x) = -19 Reorder the terms: -4(6 + -7x) + 5(1 + 2x) = -19 (6 * -4 + -7x * -4) + 5(1 + 2x) = -19 (-24 + 28x) + 5(1 + 2x) = -19 -24 + 28x + (1 * 5 + 2x * 5) = -19 -24 + 28x + (5 + 10x) = -19 Reorder the terms: -24 + 5 + 28x + 10x = -19 Combine like terms: -24 + 5 = -19 -19 + 28x + 10x = -19 Combine like terms: 28x + 10x = 38x -19 + 38x = -19 Add '19' to each side of the equation. -19 + 19 + 38x = -19 + 19 Combine like terms: -19 + 19 = 0 0 + 38x = -19 + 19 38x = -19 + 19 Combine like terms: -19 + 19 = 0 38x = 0 Solving 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '38'. x = 0 Simplifying x = 0
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