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Simplifying 8x + 19 = -7(x + 8) Reorder the terms: 19 + 8x = -7(x + 8) Reorder the terms: 19 + 8x = -7(8 + x) 19 + 8x = (8 * -7 + x * -7) 19 + 8x = (-56 + -7x) Solving 19 + 8x = -56 + -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 + 8x + 7x = -56 + -7x + 7x Combine like terms: 8x + 7x = 15x 19 + 15x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 19 + 15x = -56 + 0 19 + 15x = -56 Add '-19' to each side of the equation. 19 + -19 + 15x = -56 + -19 Combine like terms: 19 + -19 = 0 0 + 15x = -56 + -19 15x = -56 + -19 Combine like terms: -56 + -19 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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