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Simplifying -7(x + 6) + 49 = 10 + -8x Reorder the terms: -7(6 + x) + 49 = 10 + -8x (6 * -7 + x * -7) + 49 = 10 + -8x (-42 + -7x) + 49 = 10 + -8x Reorder the terms: -42 + 49 + -7x = 10 + -8x Combine like terms: -42 + 49 = 7 7 + -7x = 10 + -8x Solving 7 + -7x = 10 + -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. 7 + -7x + 8x = 10 + -8x + 8x Combine like terms: -7x + 8x = 1x 7 + 1x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 1x = 10 + 0 7 + 1x = 10 Add '-7' to each side of the equation. 7 + -7 + 1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 10 + -7 1x = 10 + -7 Combine like terms: 10 + -7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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