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Simplifying -2x + 19 = -7(x + -7) Reorder the terms: 19 + -2x = -7(x + -7) Reorder the terms: 19 + -2x = -7(-7 + x) 19 + -2x = (-7 * -7 + x * -7) 19 + -2x = (49 + -7x) Solving 19 + -2x = 49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 19 + -2x + 7x = 49 + -7x + 7x Combine like terms: -2x + 7x = 5x 19 + 5x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 19 + 5x = 49 + 0 19 + 5x = 49 Add '-19' to each side of the equation. 19 + -19 + 5x = 49 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 49 + -19 5x = 49 + -19 Combine like terms: 49 + -19 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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