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Simplifying 9(x + 5) + 2 = -4(x + -11) + -9 Reorder the terms: 9(5 + x) + 2 = -4(x + -11) + -9 (5 * 9 + x * 9) + 2 = -4(x + -11) + -9 (45 + 9x) + 2 = -4(x + -11) + -9 Reorder the terms: 45 + 2 + 9x = -4(x + -11) + -9 Combine like terms: 45 + 2 = 47 47 + 9x = -4(x + -11) + -9 Reorder the terms: 47 + 9x = -4(-11 + x) + -9 47 + 9x = (-11 * -4 + x * -4) + -9 47 + 9x = (44 + -4x) + -9 Reorder the terms: 47 + 9x = 44 + -9 + -4x Combine like terms: 44 + -9 = 35 47 + 9x = 35 + -4x Solving 47 + 9x = 35 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 47 + 9x + 4x = 35 + -4x + 4x Combine like terms: 9x + 4x = 13x 47 + 13x = 35 + -4x + 4x Combine like terms: -4x + 4x = 0 47 + 13x = 35 + 0 47 + 13x = 35 Add '-47' to each side of the equation. 47 + -47 + 13x = 35 + -47 Combine like terms: 47 + -47 = 0 0 + 13x = 35 + -47 13x = 35 + -47 Combine like terms: 35 + -47 = -12 13x = -12 Divide each side by '13'. x = -0.9230769231 Simplifying x = -0.9230769231
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