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Simplifying 4(2x + -1) = -6(x + 3) Reorder the terms: 4(-1 + 2x) = -6(x + 3) (-1 * 4 + 2x * 4) = -6(x + 3) (-4 + 8x) = -6(x + 3) Reorder the terms: -4 + 8x = -6(3 + x) -4 + 8x = (3 * -6 + x * -6) -4 + 8x = (-18 + -6x) Solving -4 + 8x = -18 + -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 = -18 + -6x + 6x Combine like terms: 8x + 6x = 14x -4 + 14x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 14x = -18 + 0 -4 + 14x = -18 Add '4' to each side of the equation. -4 + 4 + 14x = -18 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -18 + 4 14x = -18 + 4 Combine like terms: -18 + 4 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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