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Simplifying -2(-7 + -1x) + 7(4x + 5) = 19 (-7 * -2 + -1x * -2) + 7(4x + 5) = 19 (14 + 2x) + 7(4x + 5) = 19 Reorder the terms: 14 + 2x + 7(5 + 4x) = 19 14 + 2x + (5 * 7 + 4x * 7) = 19 14 + 2x + (35 + 28x) = 19 Reorder the terms: 14 + 35 + 2x + 28x = 19 Combine like terms: 14 + 35 = 49 49 + 2x + 28x = 19 Combine like terms: 2x + 28x = 30x 49 + 30x = 19 Solving 49 + 30x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 30x = 19 + -49 Combine like terms: 49 + -49 = 0 0 + 30x = 19 + -49 30x = 19 + -49 Combine like terms: 19 + -49 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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