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Simplifying 7(5x + -3) + -10 = 2(3x + -5) Reorder the terms: 7(-3 + 5x) + -10 = 2(3x + -5) (-3 * 7 + 5x * 7) + -10 = 2(3x + -5) (-21 + 35x) + -10 = 2(3x + -5) Reorder the terms: -21 + -10 + 35x = 2(3x + -5) Combine like terms: -21 + -10 = -31 -31 + 35x = 2(3x + -5) Reorder the terms: -31 + 35x = 2(-5 + 3x) -31 + 35x = (-5 * 2 + 3x * 2) -31 + 35x = (-10 + 6x) Solving -31 + 35x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -31 + 35x + -6x = -10 + 6x + -6x Combine like terms: 35x + -6x = 29x -31 + 29x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -31 + 29x = -10 + 0 -31 + 29x = -10 Add '31' to each side of the equation. -31 + 31 + 29x = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 29x = -10 + 31 29x = -10 + 31 Combine like terms: -10 + 31 = 21 29x = 21 Divide each side by '29'. x = 0.724137931 Simplifying x = 0.724137931
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