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Simplifying 9 + -1(x + -4) = 7(x + 11) Reorder the terms: 9 + -1(-4 + x) = 7(x + 11) 9 + (-4 * -1 + x * -1) = 7(x + 11) 9 + (4 + -1x) = 7(x + 11) Combine like terms: 9 + 4 = 13 13 + -1x = 7(x + 11) Reorder the terms: 13 + -1x = 7(11 + x) 13 + -1x = (11 * 7 + x * 7) 13 + -1x = (77 + 7x) Solving 13 + -1x = 77 + 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. 13 + -1x + -7x = 77 + 7x + -7x Combine like terms: -1x + -7x = -8x 13 + -8x = 77 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -8x = 77 + 0 13 + -8x = 77 Add '-13' to each side of the equation. 13 + -13 + -8x = 77 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 77 + -13 -8x = 77 + -13 Combine like terms: 77 + -13 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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