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Simplifying 8x + 19 = x + -51 Reorder the terms: 19 + 8x = x + -51 Reorder the terms: 19 + 8x = -51 + x Solving 19 + 8x = -51 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 19 + 8x + -1x = -51 + x + -1x Combine like terms: 8x + -1x = 7x 19 + 7x = -51 + x + -1x Combine like terms: x + -1x = 0 19 + 7x = -51 + 0 19 + 7x = -51 Add '-19' to each side of the equation. 19 + -19 + 7x = -51 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = -51 + -19 7x = -51 + -19 Combine like terms: -51 + -19 = -70 7x = -70 Divide each side by '7'. x = -10 Simplifying x = -10
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