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Simplifying -3(2x + -5) + -8(1 + -2x) = 4 + 7x + 3x + 2 Reorder the terms: -3(-5 + 2x) + -8(1 + -2x) = 4 + 7x + 3x + 2 (-5 * -3 + 2x * -3) + -8(1 + -2x) = 4 + 7x + 3x + 2 (15 + -6x) + -8(1 + -2x) = 4 + 7x + 3x + 2 15 + -6x + (1 * -8 + -2x * -8) = 4 + 7x + 3x + 2 15 + -6x + (-8 + 16x) = 4 + 7x + 3x + 2 Reorder the terms: 15 + -8 + -6x + 16x = 4 + 7x + 3x + 2 Combine like terms: 15 + -8 = 7 7 + -6x + 16x = 4 + 7x + 3x + 2 Combine like terms: -6x + 16x = 10x 7 + 10x = 4 + 7x + 3x + 2 Reorder the terms: 7 + 10x = 4 + 2 + 7x + 3x Combine like terms: 4 + 2 = 6 7 + 10x = 6 + 7x + 3x Combine like terms: 7x + 3x = 10x 7 + 10x = 6 + 10x Add '-10x' to each side of the equation. 7 + 10x + -10x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 0 = 6 + 10x + -10x 7 = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 7 = 6 + 0 7 = 6 Solving 7 = 6 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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