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Simplifying -3(-5x + 2) + -8x = 3(x + -1) + -9 Reorder the terms: -3(2 + -5x) + -8x = 3(x + -1) + -9 (2 * -3 + -5x * -3) + -8x = 3(x + -1) + -9 (-6 + 15x) + -8x = 3(x + -1) + -9 Combine like terms: 15x + -8x = 7x -6 + 7x = 3(x + -1) + -9 Reorder the terms: -6 + 7x = 3(-1 + x) + -9 -6 + 7x = (-1 * 3 + x * 3) + -9 -6 + 7x = (-3 + 3x) + -9 Reorder the terms: -6 + 7x = -3 + -9 + 3x Combine like terms: -3 + -9 = -12 -6 + 7x = -12 + 3x Solving -6 + 7x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 7x + -3x = -12 + 3x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 4x = -12 + 0 -6 + 4x = -12 Add '6' to each side of the equation. -6 + 6 + 4x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -12 + 6 4x = -12 + 6 Combine like terms: -12 + 6 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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