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Simplifying -2x + 6.5[-6(2x + 4) + -10] = 20 Reorder the terms: -2x + 6.5[-6(4 + 2x) + -10] = 20 -2x + 6.5[(4 * -6 + 2x * -6) + -10] = 20 -2x + 6.5[(-24 + -12x) + -10] = 20 Reorder the terms: -2x + 6.5[-24 + -10 + -12x] = 20 Combine like terms: -24 + -10 = -34 -2x + 6.5[-34 + -12x] = 20 -2x + [-34 * 6.5 + -12x * 6.5] = 20 -2x + [-221 + -78x] = 20 Reorder the terms: -221 + -2x + -78x = 20 Combine like terms: -2x + -78x = -80x -221 + -80x = 20 Solving -221 + -80x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '221' to each side of the equation. -221 + 221 + -80x = 20 + 221 Combine like terms: -221 + 221 = 0 0 + -80x = 20 + 221 -80x = 20 + 221 Combine like terms: 20 + 221 = 241 -80x = 241 Divide each side by '-80'. x = -3.0125 Simplifying x = -3.0125
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