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Simplifying 33 + -1(x + 7) = 7x + -6 Reorder the terms: 33 + -1(7 + x) = 7x + -6 33 + (7 * -1 + x * -1) = 7x + -6 33 + (-7 + -1x) = 7x + -6 Combine like terms: 33 + -7 = 26 26 + -1x = 7x + -6 Reorder the terms: 26 + -1x = -6 + 7x Solving 26 + -1x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 26 + -1x + -7x = -6 + 7x + -7x Combine like terms: -1x + -7x = -8x 26 + -8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + -8x = -6 + 0 26 + -8x = -6 Add '-26' to each side of the equation. 26 + -26 + -8x = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = -6 + -26 -8x = -6 + -26 Combine like terms: -6 + -26 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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