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Simplifying 7x + -1(7 + -1x) = -36 + 2x + -13 7x + (7 * -1 + -1x * -1) = -36 + 2x + -13 7x + (-7 + 1x) = -36 + 2x + -13 Reorder the terms: -7 + 7x + 1x = -36 + 2x + -13 Combine like terms: 7x + 1x = 8x -7 + 8x = -36 + 2x + -13 Reorder the terms: -7 + 8x = -36 + -13 + 2x Combine like terms: -36 + -13 = -49 -7 + 8x = -49 + 2x Solving -7 + 8x = -49 + 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. -7 + 8x + -2x = -49 + 2x + -2x Combine like terms: 8x + -2x = 6x -7 + 6x = -49 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 6x = -49 + 0 -7 + 6x = -49 Add '7' to each side of the equation. -7 + 7 + 6x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -49 + 7 6x = -49 + 7 Combine like terms: -49 + 7 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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