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Simplifying 17 + -1(x + -6) = 7x + -5 Reorder the terms: 17 + -1(-6 + x) = 7x + -5 17 + (-6 * -1 + x * -1) = 7x + -5 17 + (6 + -1x) = 7x + -5 Combine like terms: 17 + 6 = 23 23 + -1x = 7x + -5 Reorder the terms: 23 + -1x = -5 + 7x Solving 23 + -1x = -5 + 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. 23 + -1x + -7x = -5 + 7x + -7x Combine like terms: -1x + -7x = -8x 23 + -8x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + -8x = -5 + 0 23 + -8x = -5 Add '-23' to each side of the equation. 23 + -23 + -8x = -5 + -23 Combine like terms: 23 + -23 = 0 0 + -8x = -5 + -23 -8x = -5 + -23 Combine like terms: -5 + -23 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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