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Simplifying -7(-4x + 8) + x = -19 + -8x Reorder the terms: -7(8 + -4x) + x = -19 + -8x (8 * -7 + -4x * -7) + x = -19 + -8x (-56 + 28x) + x = -19 + -8x Combine like terms: 28x + x = 29x -56 + 29x = -19 + -8x Solving -56 + 29x = -19 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -56 + 29x + 8x = -19 + -8x + 8x Combine like terms: 29x + 8x = 37x -56 + 37x = -19 + -8x + 8x Combine like terms: -8x + 8x = 0 -56 + 37x = -19 + 0 -56 + 37x = -19 Add '56' to each side of the equation. -56 + 56 + 37x = -19 + 56 Combine like terms: -56 + 56 = 0 0 + 37x = -19 + 56 37x = -19 + 56 Combine like terms: -19 + 56 = 37 37x = 37 Divide each side by '37'. x = 1 Simplifying x = 1
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