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Simplifying 3(-15x + -24) = -49(43 + 6x) Reorder the terms: 3(-24 + -15x) = -49(43 + 6x) (-24 * 3 + -15x * 3) = -49(43 + 6x) (-72 + -45x) = -49(43 + 6x) -72 + -45x = (43 * -49 + 6x * -49) -72 + -45x = (-2107 + -294x) Solving -72 + -45x = -2107 + -294x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '294x' to each side of the equation. -72 + -45x + 294x = -2107 + -294x + 294x Combine like terms: -45x + 294x = 249x -72 + 249x = -2107 + -294x + 294x Combine like terms: -294x + 294x = 0 -72 + 249x = -2107 + 0 -72 + 249x = -2107 Add '72' to each side of the equation. -72 + 72 + 249x = -2107 + 72 Combine like terms: -72 + 72 = 0 0 + 249x = -2107 + 72 249x = -2107 + 72 Combine like terms: -2107 + 72 = -2035 249x = -2035 Divide each side by '249'. x = -8.172690763 Simplifying x = -8.172690763
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