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Simplifying 9(x + 1) + -4x = 5 + -1(x + -3) Reorder the terms: 9(1 + x) + -4x = 5 + -1(x + -3) (1 * 9 + x * 9) + -4x = 5 + -1(x + -3) (9 + 9x) + -4x = 5 + -1(x + -3) Combine like terms: 9x + -4x = 5x 9 + 5x = 5 + -1(x + -3) Reorder the terms: 9 + 5x = 5 + -1(-3 + x) 9 + 5x = 5 + (-3 * -1 + x * -1) 9 + 5x = 5 + (3 + -1x) Combine like terms: 5 + 3 = 8 9 + 5x = 8 + -1x Solving 9 + 5x = 8 + -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. 9 + 5x + x = 8 + -1x + x Combine like terms: 5x + x = 6x 9 + 6x = 8 + -1x + x Combine like terms: -1x + x = 0 9 + 6x = 8 + 0 9 + 6x = 8 Add '-9' to each side of the equation. 9 + -9 + 6x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 8 + -9 6x = 8 + -9 Combine like terms: 8 + -9 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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