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Simplifying -7x + 19 = -8(4x + 7) Reorder the terms: 19 + -7x = -8(4x + 7) Reorder the terms: 19 + -7x = -8(7 + 4x) 19 + -7x = (7 * -8 + 4x * -8) 19 + -7x = (-56 + -32x) Solving 19 + -7x = -56 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 19 + -7x + 32x = -56 + -32x + 32x Combine like terms: -7x + 32x = 25x 19 + 25x = -56 + -32x + 32x Combine like terms: -32x + 32x = 0 19 + 25x = -56 + 0 19 + 25x = -56 Add '-19' to each side of the equation. 19 + -19 + 25x = -56 + -19 Combine like terms: 19 + -19 = 0 0 + 25x = -56 + -19 25x = -56 + -19 Combine like terms: -56 + -19 = -75 25x = -75 Divide each side by '25'. x = -3 Simplifying x = -3
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