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Simplifying 5(7x + -3) = -10(-2x + 1) Reorder the terms: 5(-3 + 7x) = -10(-2x + 1) (-3 * 5 + 7x * 5) = -10(-2x + 1) (-15 + 35x) = -10(-2x + 1) Reorder the terms: -15 + 35x = -10(1 + -2x) -15 + 35x = (1 * -10 + -2x * -10) -15 + 35x = (-10 + 20x) Solving -15 + 35x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -15 + 35x + -20x = -10 + 20x + -20x Combine like terms: 35x + -20x = 15x -15 + 15x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + 15x = -10 + 0 -15 + 15x = -10 Add '15' to each side of the equation. -15 + 15 + 15x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = -10 + 15 15x = -10 + 15 Combine like terms: -10 + 15 = 5 15x = 5 Divide each side by '15'. x = 0.3333333333 Simplifying x = 0.3333333333
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