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Simplifying 7(x + -2) + 1 = 8x + -6 Reorder the terms: 7(-2 + x) + 1 = 8x + -6 (-2 * 7 + x * 7) + 1 = 8x + -6 (-14 + 7x) + 1 = 8x + -6 Reorder the terms: -14 + 1 + 7x = 8x + -6 Combine like terms: -14 + 1 = -13 -13 + 7x = 8x + -6 Reorder the terms: -13 + 7x = -6 + 8x Solving -13 + 7x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + 7x + -8x = -6 + 8x + -8x Combine like terms: 7x + -8x = -1x -13 + -1x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -1x = -6 + 0 -13 + -1x = -6 Add '13' to each side of the equation. -13 + 13 + -1x = -6 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -6 + 13 -1x = -6 + 13 Combine like terms: -6 + 13 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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