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Simplifying 2(3x + -5) = 35 + -3(x + 5) Reorder the terms: 2(-5 + 3x) = 35 + -3(x + 5) (-5 * 2 + 3x * 2) = 35 + -3(x + 5) (-10 + 6x) = 35 + -3(x + 5) Reorder the terms: -10 + 6x = 35 + -3(5 + x) -10 + 6x = 35 + (5 * -3 + x * -3) -10 + 6x = 35 + (-15 + -3x) Combine like terms: 35 + -15 = 20 -10 + 6x = 20 + -3x Solving -10 + 6x = 20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 6x + 3x = 20 + -3x + 3x Combine like terms: 6x + 3x = 9x -10 + 9x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 9x = 20 + 0 -10 + 9x = 20 Add '10' to each side of the equation. -10 + 10 + 9x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 20 + 10 9x = 20 + 10 Combine like terms: 20 + 10 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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