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Simplifying 4(2x + -1) = 27 + 3(2x + -5) Reorder the terms: 4(-1 + 2x) = 27 + 3(2x + -5) (-1 * 4 + 2x * 4) = 27 + 3(2x + -5) (-4 + 8x) = 27 + 3(2x + -5) Reorder the terms: -4 + 8x = 27 + 3(-5 + 2x) -4 + 8x = 27 + (-5 * 3 + 2x * 3) -4 + 8x = 27 + (-15 + 6x) Combine like terms: 27 + -15 = 12 -4 + 8x = 12 + 6x Solving -4 + 8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x -4 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 2x = 12 + 0 -4 + 2x = 12 Add '4' to each side of the equation. -4 + 4 + 2x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 12 + 4 2x = 12 + 4 Combine like terms: 12 + 4 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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