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Simplifying 3(5x + 2) + 10 = 2(4x + -5) + 7x + 6 Reorder the terms: 3(2 + 5x) + 10 = 2(4x + -5) + 7x + 6 (2 * 3 + 5x * 3) + 10 = 2(4x + -5) + 7x + 6 (6 + 15x) + 10 = 2(4x + -5) + 7x + 6 Reorder the terms: 6 + 10 + 15x = 2(4x + -5) + 7x + 6 Combine like terms: 6 + 10 = 16 16 + 15x = 2(4x + -5) + 7x + 6 Reorder the terms: 16 + 15x = 2(-5 + 4x) + 7x + 6 16 + 15x = (-5 * 2 + 4x * 2) + 7x + 6 16 + 15x = (-10 + 8x) + 7x + 6 Reorder the terms: 16 + 15x = -10 + 6 + 8x + 7x Combine like terms: -10 + 6 = -4 16 + 15x = -4 + 8x + 7x Combine like terms: 8x + 7x = 15x 16 + 15x = -4 + 15x Add '-15x' to each side of the equation. 16 + 15x + -15x = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + 0 = -4 + 15x + -15x 16 = -4 + 15x + -15x Combine like terms: 15x + -15x = 0 16 = -4 + 0 16 = -4 Solving 16 = -4 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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