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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 = 42 -4 + 8x = 42 + -6x Solving -4 + 8x = 42 + -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 = 42 + -6x + 6x Combine like terms: 8x + 6x = 14x -4 + 14x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 14x = 42 + 0 -4 + 14x = 42 Add '4' to each side of the equation. -4 + 4 + 14x = 42 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 42 + 4 14x = 42 + 4 Combine like terms: 42 + 4 = 46 14x = 46 Divide each side by '14'. x = 3.285714286 Simplifying x = 3.285714286
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