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Simplifying 8(2x + 9) = 10x + 2(3x + -4) Reorder the terms: 8(9 + 2x) = 10x + 2(3x + -4) (9 * 8 + 2x * 8) = 10x + 2(3x + -4) (72 + 16x) = 10x + 2(3x + -4) Reorder the terms: 72 + 16x = 10x + 2(-4 + 3x) 72 + 16x = 10x + (-4 * 2 + 3x * 2) 72 + 16x = 10x + (-8 + 6x) Reorder the terms: 72 + 16x = -8 + 10x + 6x Combine like terms: 10x + 6x = 16x 72 + 16x = -8 + 16x Add '-16x' to each side of the equation. 72 + 16x + -16x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 72 + 0 = -8 + 16x + -16x 72 = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 72 = -8 + 0 72 = -8 Solving 72 = -8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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