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Simplifying 36(x + -1) = -6(6 + -1x) + 30 Reorder the terms: 36(-1 + x) = -6(6 + -1x) + 30 (-1 * 36 + x * 36) = -6(6 + -1x) + 30 (-36 + 36x) = -6(6 + -1x) + 30 -36 + 36x = (6 * -6 + -1x * -6) + 30 -36 + 36x = (-36 + 6x) + 30 Reorder the terms: -36 + 36x = -36 + 30 + 6x Combine like terms: -36 + 30 = -6 -36 + 36x = -6 + 6x Solving -36 + 36x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 36x + -6x = -6 + 6x + -6x Combine like terms: 36x + -6x = 30x -36 + 30x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 30x = -6 + 0 -36 + 30x = -6 Add '36' to each side of the equation. -36 + 36 + 30x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 30x = -6 + 36 30x = -6 + 36 Combine like terms: -6 + 36 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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