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Simplifying 4(2x + -1) = 27 + 2(2x + -5) Reorder the terms: 4(-1 + 2x) = 27 + 2(2x + -5) (-1 * 4 + 2x * 4) = 27 + 2(2x + -5) (-4 + 8x) = 27 + 2(2x + -5) Reorder the terms: -4 + 8x = 27 + 2(-5 + 2x) -4 + 8x = 27 + (-5 * 2 + 2x * 2) -4 + 8x = 27 + (-10 + 4x) Combine like terms: 27 + -10 = 17 -4 + 8x = 17 + 4x Solving -4 + 8x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 8x + -4x = 17 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 4x = 17 + 0 -4 + 4x = 17 Add '4' to each side of the equation. -4 + 4 + 4x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 17 + 4 4x = 17 + 4 Combine like terms: 17 + 4 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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