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Simplifying -1(3x + 8) = -6(-3x + 2) + -4(5x + -3) Reorder the terms: -1(8 + 3x) = -6(-3x + 2) + -4(5x + -3) (8 * -1 + 3x * -1) = -6(-3x + 2) + -4(5x + -3) (-8 + -3x) = -6(-3x + 2) + -4(5x + -3) Reorder the terms: -8 + -3x = -6(2 + -3x) + -4(5x + -3) -8 + -3x = (2 * -6 + -3x * -6) + -4(5x + -3) -8 + -3x = (-12 + 18x) + -4(5x + -3) Reorder the terms: -8 + -3x = -12 + 18x + -4(-3 + 5x) -8 + -3x = -12 + 18x + (-3 * -4 + 5x * -4) -8 + -3x = -12 + 18x + (12 + -20x) Reorder the terms: -8 + -3x = -12 + 12 + 18x + -20x Combine like terms: -12 + 12 = 0 -8 + -3x = 0 + 18x + -20x -8 + -3x = 18x + -20x Combine like terms: 18x + -20x = -2x -8 + -3x = -2x Solving -8 + -3x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + -3x + 2x = -2x + 2x Combine like terms: -3x + 2x = -1x -8 + -1x = -2x + 2x Combine like terms: -2x + 2x = 0 -8 + -1x = 0 Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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