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Simplifying 7x + -1(2x + 8) = 6x + -13 Reorder the terms: 7x + -1(8 + 2x) = 6x + -13 7x + (8 * -1 + 2x * -1) = 6x + -13 7x + (-8 + -2x) = 6x + -13 Reorder the terms: -8 + 7x + -2x = 6x + -13 Combine like terms: 7x + -2x = 5x -8 + 5x = 6x + -13 Reorder the terms: -8 + 5x = -13 + 6x Solving -8 + 5x = -13 + 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 = -13 + 6x + -6x Combine like terms: 5x + -6x = -1x -8 + -1x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -1x = -13 + 0 -8 + -1x = -13 Add '8' to each side of the equation. -8 + 8 + -1x = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -13 + 8 -1x = -13 + 8 Combine like terms: -13 + 8 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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