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Simplifying 36(x + -1) = 6(6 + -1x) + 30x Reorder the terms: 36(-1 + x) = 6(6 + -1x) + 30x (-1 * 36 + x * 36) = 6(6 + -1x) + 30x (-36 + 36x) = 6(6 + -1x) + 30x -36 + 36x = (6 * 6 + -1x * 6) + 30x -36 + 36x = (36 + -6x) + 30x Combine like terms: -6x + 30x = 24x -36 + 36x = 36 + 24x Solving -36 + 36x = 36 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -36 + 36x + -24x = 36 + 24x + -24x Combine like terms: 36x + -24x = 12x -36 + 12x = 36 + 24x + -24x Combine like terms: 24x + -24x = 0 -36 + 12x = 36 + 0 -36 + 12x = 36 Add '36' to each side of the equation. -36 + 36 + 12x = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 36 + 36 12x = 36 + 36 Combine like terms: 36 + 36 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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