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Simplifying 5(x + 9) = 7 + -1(x + -4) Reorder the terms: 5(9 + x) = 7 + -1(x + -4) (9 * 5 + x * 5) = 7 + -1(x + -4) (45 + 5x) = 7 + -1(x + -4) Reorder the terms: 45 + 5x = 7 + -1(-4 + x) 45 + 5x = 7 + (-4 * -1 + x * -1) 45 + 5x = 7 + (4 + -1x) Combine like terms: 7 + 4 = 11 45 + 5x = 11 + -1x Solving 45 + 5x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + 5x + x = 11 + -1x + x Combine like terms: 5x + x = 6x 45 + 6x = 11 + -1x + x Combine like terms: -1x + x = 0 45 + 6x = 11 + 0 45 + 6x = 11 Add '-45' to each side of the equation. 45 + -45 + 6x = 11 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = 11 + -45 6x = 11 + -45 Combine like terms: 11 + -45 = -34 6x = -34 Divide each side by '6'. x = -5.666666667 Simplifying x = -5.666666667
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