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Simplifying 2(4x + -3) = 5x + -27 Reorder the terms: 2(-3 + 4x) = 5x + -27 (-3 * 2 + 4x * 2) = 5x + -27 (-6 + 8x) = 5x + -27 Reorder the terms: -6 + 8x = -27 + 5x Solving -6 + 8x = -27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 8x + -5x = -27 + 5x + -5x Combine like terms: 8x + -5x = 3x -6 + 3x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 3x = -27 + 0 -6 + 3x = -27 Add '6' to each side of the equation. -6 + 6 + 3x = -27 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -27 + 6 3x = -27 + 6 Combine like terms: -27 + 6 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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