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Simplifying 3(2x + -1) = -8(6 + x) Reorder the terms: 3(-1 + 2x) = -8(6 + x) (-1 * 3 + 2x * 3) = -8(6 + x) (-3 + 6x) = -8(6 + x) -3 + 6x = (6 * -8 + x * -8) -3 + 6x = (-48 + -8x) Solving -3 + 6x = -48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + 6x + 8x = -48 + -8x + 8x Combine like terms: 6x + 8x = 14x -3 + 14x = -48 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + 14x = -48 + 0 -3 + 14x = -48 Add '3' to each side of the equation. -3 + 3 + 14x = -48 + 3 Combine like terms: -3 + 3 = 0 0 + 14x = -48 + 3 14x = -48 + 3 Combine like terms: -48 + 3 = -45 14x = -45 Divide each side by '14'. x = -3.214285714 Simplifying x = -3.214285714
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