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Simplifying -1(7 + 6x) = 33 + -1x (7 * -1 + 6x * -1) = 33 + -1x (-7 + -6x) = 33 + -1x Solving -7 + -6x = 33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + -6x + x = 33 + -1x + x Combine like terms: -6x + x = -5x -7 + -5x = 33 + -1x + x Combine like terms: -1x + x = 0 -7 + -5x = 33 + 0 -7 + -5x = 33 Add '7' to each side of the equation. -7 + 7 + -5x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 33 + 7 -5x = 33 + 7 Combine like terms: 33 + 7 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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