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Simplifying 7(x + 11) = -8(2x + 1) Reorder the terms: 7(11 + x) = -8(2x + 1) (11 * 7 + x * 7) = -8(2x + 1) (77 + 7x) = -8(2x + 1) Reorder the terms: 77 + 7x = -8(1 + 2x) 77 + 7x = (1 * -8 + 2x * -8) 77 + 7x = (-8 + -16x) Solving 77 + 7x = -8 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 77 + 7x + 16x = -8 + -16x + 16x Combine like terms: 7x + 16x = 23x 77 + 23x = -8 + -16x + 16x Combine like terms: -16x + 16x = 0 77 + 23x = -8 + 0 77 + 23x = -8 Add '-77' to each side of the equation. 77 + -77 + 23x = -8 + -77 Combine like terms: 77 + -77 = 0 0 + 23x = -8 + -77 23x = -8 + -77 Combine like terms: -8 + -77 = -85 23x = -85 Divide each side by '23'. x = -3.695652174 Simplifying x = -3.695652174
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