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Simplifying -3(-5x + 2) + -6x = 3(x + -4) + -8 Reorder the terms: -3(2 + -5x) + -6x = 3(x + -4) + -8 (2 * -3 + -5x * -3) + -6x = 3(x + -4) + -8 (-6 + 15x) + -6x = 3(x + -4) + -8 Combine like terms: 15x + -6x = 9x -6 + 9x = 3(x + -4) + -8 Reorder the terms: -6 + 9x = 3(-4 + x) + -8 -6 + 9x = (-4 * 3 + x * 3) + -8 -6 + 9x = (-12 + 3x) + -8 Reorder the terms: -6 + 9x = -12 + -8 + 3x Combine like terms: -12 + -8 = -20 -6 + 9x = -20 + 3x Solving -6 + 9x = -20 + 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 + 9x + -3x = -20 + 3x + -3x Combine like terms: 9x + -3x = 6x -6 + 6x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 6x = -20 + 0 -6 + 6x = -20 Add '6' to each side of the equation. -6 + 6 + 6x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -20 + 6 6x = -20 + 6 Combine like terms: -20 + 6 = -14 6x = -14 Divide each side by '6'. x = -2.333333333 Simplifying x = -2.333333333
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