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Simplifying 5(x + 1) = -10(2x + -4 + 5x + -6) Reorder the terms: 5(1 + x) = -10(2x + -4 + 5x + -6) (1 * 5 + x * 5) = -10(2x + -4 + 5x + -6) (5 + 5x) = -10(2x + -4 + 5x + -6) Reorder the terms: 5 + 5x = -10(-4 + -6 + 2x + 5x) Combine like terms: -4 + -6 = -10 5 + 5x = -10(-10 + 2x + 5x) Combine like terms: 2x + 5x = 7x 5 + 5x = -10(-10 + 7x) 5 + 5x = (-10 * -10 + 7x * -10) 5 + 5x = (100 + -70x) Solving 5 + 5x = 100 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. 5 + 5x + 70x = 100 + -70x + 70x Combine like terms: 5x + 70x = 75x 5 + 75x = 100 + -70x + 70x Combine like terms: -70x + 70x = 0 5 + 75x = 100 + 0 5 + 75x = 100 Add '-5' to each side of the equation. 5 + -5 + 75x = 100 + -5 Combine like terms: 5 + -5 = 0 0 + 75x = 100 + -5 75x = 100 + -5 Combine like terms: 100 + -5 = 95 75x = 95 Divide each side by '75'. x = 1.266666667 Simplifying x = 1.266666667
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