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