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Simplifying 7x + -1(2x + 8) = 6x + -49 Reorder the terms: 7x + -1(8 + 2x) = 6x + -49 7x + (8 * -1 + 2x * -1) = 6x + -49 7x + (-8 + -2x) = 6x + -49 Reorder the terms: -8 + 7x + -2x = 6x + -49 Combine like terms: 7x + -2x = 5x -8 + 5x = 6x + -49 Reorder the terms: -8 + 5x = -49 + 6x Solving -8 + 5x = -49 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 5x + -6x = -49 + 6x + -6x Combine like terms: 5x + -6x = -1x -8 + -1x = -49 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -1x = -49 + 0 -8 + -1x = -49 Add '8' to each side of the equation. -8 + 8 + -1x = -49 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -49 + 8 -1x = -49 + 8 Combine like terms: -49 + 8 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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