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Simplifying -1(x + -27) + (x + 6) = x + -7 Reorder the terms: -1(-27 + x) + (x + 6) = x + -7 (-27 * -1 + x * -1) + (x + 6) = x + -7 (27 + -1x) + (x + 6) = x + -7 Reorder the terms: 27 + -1x + (6 + x) = x + -7 Remove parenthesis around (6 + x) 27 + -1x + 6 + x = x + -7 Reorder the terms: 27 + 6 + -1x + x = x + -7 Combine like terms: 27 + 6 = 33 33 + -1x + x = x + -7 Combine like terms: -1x + x = 0 33 + 0 = x + -7 33 = x + -7 Reorder the terms: 33 = -7 + x Solving 33 = -7 + 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. 33 + -1x = -7 + x + -1x Combine like terms: x + -1x = 0 33 + -1x = -7 + 0 33 + -1x = -7 Add '-33' to each side of the equation. 33 + -33 + -1x = -7 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = -7 + -33 -1x = -7 + -33 Combine like terms: -7 + -33 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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