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Simplifying -3(2x + 8) + 14 = 4(x + 1) + -2(5x + 4) Reorder the terms: -3(8 + 2x) + 14 = 4(x + 1) + -2(5x + 4) (8 * -3 + 2x * -3) + 14 = 4(x + 1) + -2(5x + 4) (-24 + -6x) + 14 = 4(x + 1) + -2(5x + 4) Reorder the terms: -24 + 14 + -6x = 4(x + 1) + -2(5x + 4) Combine like terms: -24 + 14 = -10 -10 + -6x = 4(x + 1) + -2(5x + 4) Reorder the terms: -10 + -6x = 4(1 + x) + -2(5x + 4) -10 + -6x = (1 * 4 + x * 4) + -2(5x + 4) -10 + -6x = (4 + 4x) + -2(5x + 4) Reorder the terms: -10 + -6x = 4 + 4x + -2(4 + 5x) -10 + -6x = 4 + 4x + (4 * -2 + 5x * -2) -10 + -6x = 4 + 4x + (-8 + -10x) Reorder the terms: -10 + -6x = 4 + -8 + 4x + -10x Combine like terms: 4 + -8 = -4 -10 + -6x = -4 + 4x + -10x Combine like terms: 4x + -10x = -6x -10 + -6x = -4 + -6x Add '6x' to each side of the equation. -10 + -6x + 6x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 0 = -4 + -6x + 6x -10 = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 = -4 + 0 -10 = -4 Solving -10 = -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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