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Simplifying 4(2x + 10) + -3x + 2 = 3(2x + 15) + -1x + -6 Reorder the terms: 4(10 + 2x) + -3x + 2 = 3(2x + 15) + -1x + -6 (10 * 4 + 2x * 4) + -3x + 2 = 3(2x + 15) + -1x + -6 (40 + 8x) + -3x + 2 = 3(2x + 15) + -1x + -6 Reorder the terms: 40 + 2 + 8x + -3x = 3(2x + 15) + -1x + -6 Combine like terms: 40 + 2 = 42 42 + 8x + -3x = 3(2x + 15) + -1x + -6 Combine like terms: 8x + -3x = 5x 42 + 5x = 3(2x + 15) + -1x + -6 Reorder the terms: 42 + 5x = 3(15 + 2x) + -1x + -6 42 + 5x = (15 * 3 + 2x * 3) + -1x + -6 42 + 5x = (45 + 6x) + -1x + -6 Reorder the terms: 42 + 5x = 45 + -6 + 6x + -1x Combine like terms: 45 + -6 = 39 42 + 5x = 39 + 6x + -1x Combine like terms: 6x + -1x = 5x 42 + 5x = 39 + 5x Add '-5x' to each side of the equation. 42 + 5x + -5x = 39 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 0 = 39 + 5x + -5x 42 = 39 + 5x + -5x Combine like terms: 5x + -5x = 0 42 = 39 + 0 42 = 39 Solving 42 = 39 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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