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Simplifying 15(-21x + -6) = 5(-8x + -458) Reorder the terms: 15(-6 + -21x) = 5(-8x + -458) (-6 * 15 + -21x * 15) = 5(-8x + -458) (-90 + -315x) = 5(-8x + -458) Reorder the terms: -90 + -315x = 5(-458 + -8x) -90 + -315x = (-458 * 5 + -8x * 5) -90 + -315x = (-2290 + -40x) Solving -90 + -315x = -2290 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -90 + -315x + 40x = -2290 + -40x + 40x Combine like terms: -315x + 40x = -275x -90 + -275x = -2290 + -40x + 40x Combine like terms: -40x + 40x = 0 -90 + -275x = -2290 + 0 -90 + -275x = -2290 Add '90' to each side of the equation. -90 + 90 + -275x = -2290 + 90 Combine like terms: -90 + 90 = 0 0 + -275x = -2290 + 90 -275x = -2290 + 90 Combine like terms: -2290 + 90 = -2200 -275x = -2200 Divide each side by '-275'. x = 8 Simplifying x = 8
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