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Simplifying -2(x + 6) + 7(x + -2) = x + 1 Reorder the terms: -2(6 + x) + 7(x + -2) = x + 1 (6 * -2 + x * -2) + 7(x + -2) = x + 1 (-12 + -2x) + 7(x + -2) = x + 1 Reorder the terms: -12 + -2x + 7(-2 + x) = x + 1 -12 + -2x + (-2 * 7 + x * 7) = x + 1 -12 + -2x + (-14 + 7x) = x + 1 Reorder the terms: -12 + -14 + -2x + 7x = x + 1 Combine like terms: -12 + -14 = -26 -26 + -2x + 7x = x + 1 Combine like terms: -2x + 7x = 5x -26 + 5x = x + 1 Reorder the terms: -26 + 5x = 1 + x Solving -26 + 5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -26 + 5x + -1x = 1 + x + -1x Combine like terms: 5x + -1x = 4x -26 + 4x = 1 + x + -1x Combine like terms: x + -1x = 0 -26 + 4x = 1 + 0 -26 + 4x = 1 Add '26' to each side of the equation. -26 + 26 + 4x = 1 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = 1 + 26 4x = 1 + 26 Combine like terms: 1 + 26 = 27 4x = 27 Divide each side by '4'. x = 6.75 Simplifying x = 6.75
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