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Simplifying 5(3x + -7) = 2(4 + -3) Reorder the terms: 5(-7 + 3x) = 2(4 + -3) (-7 * 5 + 3x * 5) = 2(4 + -3) (-35 + 15x) = 2(4 + -3) Combine like terms: 4 + -3 = 1 -35 + 15x = 2(1) Multiply 2 * 1 -35 + 15x = 2 Solving -35 + 15x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 15x = 2 + 35 Combine like terms: -35 + 35 = 0 0 + 15x = 2 + 35 15x = 2 + 35 Combine like terms: 2 + 35 = 37 15x = 37 Divide each side by '15'. x = 2.466666667 Simplifying x = 2.466666667
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