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Simplifying -19 + -7x = 7(4x + 7) + 2 Reorder the terms: -19 + -7x = 7(7 + 4x) + 2 -19 + -7x = (7 * 7 + 4x * 7) + 2 -19 + -7x = (49 + 28x) + 2 Reorder the terms: -19 + -7x = 49 + 2 + 28x Combine like terms: 49 + 2 = 51 -19 + -7x = 51 + 28x Solving -19 + -7x = 51 + 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 + -7x + -28x = 51 + 28x + -28x Combine like terms: -7x + -28x = -35x -19 + -35x = 51 + 28x + -28x Combine like terms: 28x + -28x = 0 -19 + -35x = 51 + 0 -19 + -35x = 51 Add '19' to each side of the equation. -19 + 19 + -35x = 51 + 19 Combine like terms: -19 + 19 = 0 0 + -35x = 51 + 19 -35x = 51 + 19 Combine like terms: 51 + 19 = 70 -35x = 70 Divide each side by '-35'. x = -2 Simplifying x = -2
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