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Simplifying 4(2x + 5) + -6 = 2(4x + -3) + 5 Reorder the terms: 4(5 + 2x) + -6 = 2(4x + -3) + 5 (5 * 4 + 2x * 4) + -6 = 2(4x + -3) + 5 (20 + 8x) + -6 = 2(4x + -3) + 5 Reorder the terms: 20 + -6 + 8x = 2(4x + -3) + 5 Combine like terms: 20 + -6 = 14 14 + 8x = 2(4x + -3) + 5 Reorder the terms: 14 + 8x = 2(-3 + 4x) + 5 14 + 8x = (-3 * 2 + 4x * 2) + 5 14 + 8x = (-6 + 8x) + 5 Reorder the terms: 14 + 8x = -6 + 5 + 8x Combine like terms: -6 + 5 = -1 14 + 8x = -1 + 8x Add '-8x' to each side of the equation. 14 + 8x + -8x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 0 = -1 + 8x + -8x 14 = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 14 = -1 + 0 14 = -1 Solving 14 = -1 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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