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Simplifying -8(3x + 2) = 2x + -5 + -20x + -7 Reorder the terms: -8(2 + 3x) = 2x + -5 + -20x + -7 (2 * -8 + 3x * -8) = 2x + -5 + -20x + -7 (-16 + -24x) = 2x + -5 + -20x + -7 Reorder the terms: -16 + -24x = -5 + -7 + 2x + -20x Combine like terms: -5 + -7 = -12 -16 + -24x = -12 + 2x + -20x Combine like terms: 2x + -20x = -18x -16 + -24x = -12 + -18x Solving -16 + -24x = -12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -16 + -24x + 18x = -12 + -18x + 18x Combine like terms: -24x + 18x = -6x -16 + -6x = -12 + -18x + 18x Combine like terms: -18x + 18x = 0 -16 + -6x = -12 + 0 -16 + -6x = -12 Add '16' to each side of the equation. -16 + 16 + -6x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -12 + 16 -6x = -12 + 16 Combine like terms: -12 + 16 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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