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Simplifying -4(x + -9) + 11 = 16 + 7(9 + -1x) Reorder the terms: -4(-9 + x) + 11 = 16 + 7(9 + -1x) (-9 * -4 + x * -4) + 11 = 16 + 7(9 + -1x) (36 + -4x) + 11 = 16 + 7(9 + -1x) Reorder the terms: 36 + 11 + -4x = 16 + 7(9 + -1x) Combine like terms: 36 + 11 = 47 47 + -4x = 16 + 7(9 + -1x) 47 + -4x = 16 + (9 * 7 + -1x * 7) 47 + -4x = 16 + (63 + -7x) Combine like terms: 16 + 63 = 79 47 + -4x = 79 + -7x Solving 47 + -4x = 79 + -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. 47 + -4x + 7x = 79 + -7x + 7x Combine like terms: -4x + 7x = 3x 47 + 3x = 79 + -7x + 7x Combine like terms: -7x + 7x = 0 47 + 3x = 79 + 0 47 + 3x = 79 Add '-47' to each side of the equation. 47 + -47 + 3x = 79 + -47 Combine like terms: 47 + -47 = 0 0 + 3x = 79 + -47 3x = 79 + -47 Combine like terms: 79 + -47 = 32 3x = 32 Divide each side by '3'. x = 10.66666667 Simplifying x = 10.66666667
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