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Simplifying 36(x + -1) + -4(x + -5) = 9(x + 5) Reorder the terms: 36(-1 + x) + -4(x + -5) = 9(x + 5) (-1 * 36 + x * 36) + -4(x + -5) = 9(x + 5) (-36 + 36x) + -4(x + -5) = 9(x + 5) Reorder the terms: -36 + 36x + -4(-5 + x) = 9(x + 5) -36 + 36x + (-5 * -4 + x * -4) = 9(x + 5) -36 + 36x + (20 + -4x) = 9(x + 5) Reorder the terms: -36 + 20 + 36x + -4x = 9(x + 5) Combine like terms: -36 + 20 = -16 -16 + 36x + -4x = 9(x + 5) Combine like terms: 36x + -4x = 32x -16 + 32x = 9(x + 5) Reorder the terms: -16 + 32x = 9(5 + x) -16 + 32x = (5 * 9 + x * 9) -16 + 32x = (45 + 9x) Solving -16 + 32x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 32x + -9x = 45 + 9x + -9x Combine like terms: 32x + -9x = 23x -16 + 23x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + 23x = 45 + 0 -16 + 23x = 45 Add '16' to each side of the equation. -16 + 16 + 23x = 45 + 16 Combine like terms: -16 + 16 = 0 0 + 23x = 45 + 16 23x = 45 + 16 Combine like terms: 45 + 16 = 61 23x = 61 Divide each side by '23'. x = 2.652173913 Simplifying x = 2.652173913
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