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Simplifying 7(x + -1) + 2x = 6x + -49 Reorder the terms: 7(-1 + x) + 2x = 6x + -49 (-1 * 7 + x * 7) + 2x = 6x + -49 (-7 + 7x) + 2x = 6x + -49 Combine like terms: 7x + 2x = 9x -7 + 9x = 6x + -49 Reorder the terms: -7 + 9x = -49 + 6x Solving -7 + 9x = -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. -7 + 9x + -6x = -49 + 6x + -6x Combine like terms: 9x + -6x = 3x -7 + 3x = -49 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 3x = -49 + 0 -7 + 3x = -49 Add '7' to each side of the equation. -7 + 7 + 3x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -49 + 7 3x = -49 + 7 Combine like terms: -49 + 7 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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