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Simplifying 36(x + -1) = 6(x + 5) + 3x Reorder the terms: 36(-1 + x) = 6(x + 5) + 3x (-1 * 36 + x * 36) = 6(x + 5) + 3x (-36 + 36x) = 6(x + 5) + 3x Reorder the terms: -36 + 36x = 6(5 + x) + 3x -36 + 36x = (5 * 6 + x * 6) + 3x -36 + 36x = (30 + 6x) + 3x Combine like terms: 6x + 3x = 9x -36 + 36x = 30 + 9x Solving -36 + 36x = 30 + 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. -36 + 36x + -9x = 30 + 9x + -9x Combine like terms: 36x + -9x = 27x -36 + 27x = 30 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + 27x = 30 + 0 -36 + 27x = 30 Add '36' to each side of the equation. -36 + 36 + 27x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + 27x = 30 + 36 27x = 30 + 36 Combine like terms: 30 + 36 = 66 27x = 66 Divide each side by '27'. x = 2.444444444 Simplifying x = 2.444444444
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