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Simplifying 4(2x + -3) = 5x + 27 Reorder the terms: 4(-3 + 2x) = 5x + 27 (-3 * 4 + 2x * 4) = 5x + 27 (-12 + 8x) = 5x + 27 Reorder the terms: -12 + 8x = 27 + 5x Solving -12 + 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. -12 + 8x + -5x = 27 + 5x + -5x Combine like terms: 8x + -5x = 3x -12 + 3x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 3x = 27 + 0 -12 + 3x = 27 Add '12' to each side of the equation. -12 + 12 + 3x = 27 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 27 + 12 3x = 27 + 12 Combine like terms: 27 + 12 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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