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Simplifying -2(4x + -3) + 3(3x + -1) + -5 = 4 + -8 Reorder the terms: -2(-3 + 4x) + 3(3x + -1) + -5 = 4 + -8 (-3 * -2 + 4x * -2) + 3(3x + -1) + -5 = 4 + -8 (6 + -8x) + 3(3x + -1) + -5 = 4 + -8 Reorder the terms: 6 + -8x + 3(-1 + 3x) + -5 = 4 + -8 6 + -8x + (-1 * 3 + 3x * 3) + -5 = 4 + -8 6 + -8x + (-3 + 9x) + -5 = 4 + -8 Reorder the terms: 6 + -3 + -5 + -8x + 9x = 4 + -8 Combine like terms: 6 + -3 = 3 3 + -5 + -8x + 9x = 4 + -8 Combine like terms: 3 + -5 = -2 -2 + -8x + 9x = 4 + -8 Combine like terms: -8x + 9x = 1x -2 + 1x = 4 + -8 Combine like terms: 4 + -8 = -4 -2 + 1x = -4 Solving -2 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -4 + 2 1x = -4 + 2 Combine like terms: -4 + 2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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