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Simplifying 18(x + -1) + -27(x + -2) = 3x Reorder the terms: 18(-1 + x) + -27(x + -2) = 3x (-1 * 18 + x * 18) + -27(x + -2) = 3x (-18 + 18x) + -27(x + -2) = 3x Reorder the terms: -18 + 18x + -27(-2 + x) = 3x -18 + 18x + (-2 * -27 + x * -27) = 3x -18 + 18x + (54 + -27x) = 3x Reorder the terms: -18 + 54 + 18x + -27x = 3x Combine like terms: -18 + 54 = 36 36 + 18x + -27x = 3x Combine like terms: 18x + -27x = -9x 36 + -9x = 3x Solving 36 + -9x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 36 + -9x + -3x = 3x + -3x Combine like terms: -9x + -3x = -12x 36 + -12x = 3x + -3x Combine like terms: 3x + -3x = 0 36 + -12x = 0 Add '-36' to each side of the equation. 36 + -36 + -12x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 0 + -36 -12x = 0 + -36 Combine like terms: 0 + -36 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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