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Simplifying 4(-2x + -5) + -2(3x + 5) = 68 Reorder the terms: 4(-5 + -2x) + -2(3x + 5) = 68 (-5 * 4 + -2x * 4) + -2(3x + 5) = 68 (-20 + -8x) + -2(3x + 5) = 68 Reorder the terms: -20 + -8x + -2(5 + 3x) = 68 -20 + -8x + (5 * -2 + 3x * -2) = 68 -20 + -8x + (-10 + -6x) = 68 Reorder the terms: -20 + -10 + -8x + -6x = 68 Combine like terms: -20 + -10 = -30 -30 + -8x + -6x = 68 Combine like terms: -8x + -6x = -14x -30 + -14x = 68 Solving -30 + -14x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -14x = 68 + 30 Combine like terms: -30 + 30 = 0 0 + -14x = 68 + 30 -14x = 68 + 30 Combine like terms: 68 + 30 = 98 -14x = 98 Divide each side by '-14'. x = -7 Simplifying x = -7
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