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Simplifying (x + 7)(4 + 11) = 2(-1x + 17) Reorder the terms: (7 + x)(4 + 11) = 2(-1x + 17) Combine like terms: 4 + 11 = 15 (7 + x)(15) = 2(-1x + 17) Reorder the terms for easier multiplication: 15(7 + x) = 2(-1x + 17) (7 * 15 + x * 15) = 2(-1x + 17) (105 + 15x) = 2(-1x + 17) Reorder the terms: 105 + 15x = 2(17 + -1x) 105 + 15x = (17 * 2 + -1x * 2) 105 + 15x = (34 + -2x) Solving 105 + 15x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 105 + 15x + 2x = 34 + -2x + 2x Combine like terms: 15x + 2x = 17x 105 + 17x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 105 + 17x = 34 + 0 105 + 17x = 34 Add '-105' to each side of the equation. 105 + -105 + 17x = 34 + -105 Combine like terms: 105 + -105 = 0 0 + 17x = 34 + -105 17x = 34 + -105 Combine like terms: 34 + -105 = -71 17x = -71 Divide each side by '17'. x = -4.176470588 Simplifying x = -4.176470588
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