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Simplifying 3(2x + 5) + -2(3 + 5x) = 4(1 + -1x) + 11 Reorder the terms: 3(5 + 2x) + -2(3 + 5x) = 4(1 + -1x) + 11 (5 * 3 + 2x * 3) + -2(3 + 5x) = 4(1 + -1x) + 11 (15 + 6x) + -2(3 + 5x) = 4(1 + -1x) + 11 15 + 6x + (3 * -2 + 5x * -2) = 4(1 + -1x) + 11 15 + 6x + (-6 + -10x) = 4(1 + -1x) + 11 Reorder the terms: 15 + -6 + 6x + -10x = 4(1 + -1x) + 11 Combine like terms: 15 + -6 = 9 9 + 6x + -10x = 4(1 + -1x) + 11 Combine like terms: 6x + -10x = -4x 9 + -4x = 4(1 + -1x) + 11 9 + -4x = (1 * 4 + -1x * 4) + 11 9 + -4x = (4 + -4x) + 11 Reorder the terms: 9 + -4x = 4 + 11 + -4x Combine like terms: 4 + 11 = 15 9 + -4x = 15 + -4x Add '4x' to each side of the equation. 9 + -4x + 4x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 0 = 15 + -4x + 4x 9 = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 9 = 15 + 0 9 = 15 Solving 9 = 15 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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