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Simplifying 5(2x + -3) = 3(x + 35) Reorder the terms: 5(-3 + 2x) = 3(x + 35) (-3 * 5 + 2x * 5) = 3(x + 35) (-15 + 10x) = 3(x + 35) Reorder the terms: -15 + 10x = 3(35 + x) -15 + 10x = (35 * 3 + x * 3) -15 + 10x = (105 + 3x) Solving -15 + 10x = 105 + 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. -15 + 10x + -3x = 105 + 3x + -3x Combine like terms: 10x + -3x = 7x -15 + 7x = 105 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 7x = 105 + 0 -15 + 7x = 105 Add '15' to each side of the equation. -15 + 15 + 7x = 105 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 105 + 15 7x = 105 + 15 Combine like terms: 105 + 15 = 120 7x = 120 Divide each side by '7'. x = 17.14285714 Simplifying x = 17.14285714
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