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Simplifying -16(x + 6) = 49(x + -14) Reorder the terms: -16(6 + x) = 49(x + -14) (6 * -16 + x * -16) = 49(x + -14) (-96 + -16x) = 49(x + -14) Reorder the terms: -96 + -16x = 49(-14 + x) -96 + -16x = (-14 * 49 + x * 49) -96 + -16x = (-686 + 49x) Solving -96 + -16x = -686 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -96 + -16x + -49x = -686 + 49x + -49x Combine like terms: -16x + -49x = -65x -96 + -65x = -686 + 49x + -49x Combine like terms: 49x + -49x = 0 -96 + -65x = -686 + 0 -96 + -65x = -686 Add '96' to each side of the equation. -96 + 96 + -65x = -686 + 96 Combine like terms: -96 + 96 = 0 0 + -65x = -686 + 96 -65x = -686 + 96 Combine like terms: -686 + 96 = -590 -65x = -590 Divide each side by '-65'. x = 9.076923077 Simplifying x = 9.076923077
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