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Simplifying 7 + -1(x + 13) = (x + 1) Reorder the terms: 7 + -1(13 + x) = (x + 1) 7 + (13 * -1 + x * -1) = (x + 1) 7 + (-13 + -1x) = (x + 1) Combine like terms: 7 + -13 = -6 -6 + -1x = (x + 1) Reorder the terms: -6 + -1x = (1 + x) Remove parenthesis around (1 + x) -6 + -1x = 1 + x Solving -6 + -1x = 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. -6 + -1x + -1x = 1 + x + -1x Combine like terms: -1x + -1x = -2x -6 + -2x = 1 + x + -1x Combine like terms: x + -1x = 0 -6 + -2x = 1 + 0 -6 + -2x = 1 Add '6' to each side of the equation. -6 + 6 + -2x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 1 + 6 -2x = 1 + 6 Combine like terms: 1 + 6 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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