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Simplifying -7 + -7(8x + -7) = -19 + 5x Reorder the terms: -7 + -7(-7 + 8x) = -19 + 5x -7 + (-7 * -7 + 8x * -7) = -19 + 5x -7 + (49 + -56x) = -19 + 5x Combine like terms: -7 + 49 = 42 42 + -56x = -19 + 5x Solving 42 + -56x = -19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + -56x + -5x = -19 + 5x + -5x Combine like terms: -56x + -5x = -61x 42 + -61x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -61x = -19 + 0 42 + -61x = -19 Add '-42' to each side of the equation. 42 + -42 + -61x = -19 + -42 Combine like terms: 42 + -42 = 0 0 + -61x = -19 + -42 -61x = -19 + -42 Combine like terms: -19 + -42 = -61 -61x = -61 Divide each side by '-61'. x = 1 Simplifying x = 1
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