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Simplifying 7(x + 7) + -1(8 + 4x) = 2x Reorder the terms: 7(7 + x) + -1(8 + 4x) = 2x (7 * 7 + x * 7) + -1(8 + 4x) = 2x (49 + 7x) + -1(8 + 4x) = 2x 49 + 7x + (8 * -1 + 4x * -1) = 2x 49 + 7x + (-8 + -4x) = 2x Reorder the terms: 49 + -8 + 7x + -4x = 2x Combine like terms: 49 + -8 = 41 41 + 7x + -4x = 2x Combine like terms: 7x + -4x = 3x 41 + 3x = 2x Solving 41 + 3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 41 + 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 41 + 1x = 2x + -2x Combine like terms: 2x + -2x = 0 41 + 1x = 0 Add '-41' to each side of the equation. 41 + -41 + 1x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1x = 0 + -41 1x = 0 + -41 Combine like terms: 0 + -41 = -41 1x = -41 Divide each side by '1'. x = -41 Simplifying x = -41
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