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Simplifying 3x + -6 = 2(4x + -18) Reorder the terms: -6 + 3x = 2(4x + -18) Reorder the terms: -6 + 3x = 2(-18 + 4x) -6 + 3x = (-18 * 2 + 4x * 2) -6 + 3x = (-36 + 8x) Solving -6 + 3x = -36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 3x + -8x = -36 + 8x + -8x Combine like terms: 3x + -8x = -5x -6 + -5x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -5x = -36 + 0 -6 + -5x = -36 Add '6' to each side of the equation. -6 + 6 + -5x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -36 + 6 -5x = -36 + 6 Combine like terms: -36 + 6 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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