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Simplifying 17 + -1(x + -7) = 7x + -6 Reorder the terms: 17 + -1(-7 + x) = 7x + -6 17 + (-7 * -1 + x * -1) = 7x + -6 17 + (7 + -1x) = 7x + -6 Combine like terms: 17 + 7 = 24 24 + -1x = 7x + -6 Reorder the terms: 24 + -1x = -6 + 7x Solving 24 + -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. 24 + -1x + -7x = -6 + 7x + -7x Combine like terms: -1x + -7x = -8x 24 + -8x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -8x = -6 + 0 24 + -8x = -6 Add '-24' to each side of the equation. 24 + -24 + -8x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = -6 + -24 -8x = -6 + -24 Combine like terms: -6 + -24 = -30 -8x = -30 Divide each side by '-8'. x = 3.75 Simplifying x = 3.75
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