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Simplifying -5(x + 2) + -35 = 21x + -4(10 + -12x) + -3(15 + -6x) Reorder the terms: -5(2 + x) + -35 = 21x + -4(10 + -12x) + -3(15 + -6x) (2 * -5 + x * -5) + -35 = 21x + -4(10 + -12x) + -3(15 + -6x) (-10 + -5x) + -35 = 21x + -4(10 + -12x) + -3(15 + -6x) Reorder the terms: -10 + -35 + -5x = 21x + -4(10 + -12x) + -3(15 + -6x) Combine like terms: -10 + -35 = -45 -45 + -5x = 21x + -4(10 + -12x) + -3(15 + -6x) -45 + -5x = 21x + (10 * -4 + -12x * -4) + -3(15 + -6x) -45 + -5x = 21x + (-40 + 48x) + -3(15 + -6x) -45 + -5x = 21x + -40 + 48x + (15 * -3 + -6x * -3) -45 + -5x = 21x + -40 + 48x + (-45 + 18x) Reorder the terms: -45 + -5x = -40 + -45 + 21x + 48x + 18x Combine like terms: -40 + -45 = -85 -45 + -5x = -85 + 21x + 48x + 18x Combine like terms: 21x + 48x = 69x -45 + -5x = -85 + 69x + 18x Combine like terms: 69x + 18x = 87x -45 + -5x = -85 + 87x Solving -45 + -5x = -85 + 87x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-87x' to each side of the equation. -45 + -5x + -87x = -85 + 87x + -87x Combine like terms: -5x + -87x = -92x -45 + -92x = -85 + 87x + -87x Combine like terms: 87x + -87x = 0 -45 + -92x = -85 + 0 -45 + -92x = -85 Add '45' to each side of the equation. -45 + 45 + -92x = -85 + 45 Combine like terms: -45 + 45 = 0 0 + -92x = -85 + 45 -92x = -85 + 45 Combine like terms: -85 + 45 = -40 -92x = -40 Divide each side by '-92'. x = 0.4347826087 Simplifying x = 0.4347826087
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