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Simplifying 5(2x + -7) + 3(x + -2) = 2 Reorder the terms: 5(-7 + 2x) + 3(x + -2) = 2 (-7 * 5 + 2x * 5) + 3(x + -2) = 2 (-35 + 10x) + 3(x + -2) = 2 Reorder the terms: -35 + 10x + 3(-2 + x) = 2 -35 + 10x + (-2 * 3 + x * 3) = 2 -35 + 10x + (-6 + 3x) = 2 Reorder the terms: -35 + -6 + 10x + 3x = 2 Combine like terms: -35 + -6 = -41 -41 + 10x + 3x = 2 Combine like terms: 10x + 3x = 13x -41 + 13x = 2 Solving -41 + 13x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 13x = 2 + 41 Combine like terms: -41 + 41 = 0 0 + 13x = 2 + 41 13x = 2 + 41 Combine like terms: 2 + 41 = 43 13x = 43 Divide each side by '13'. x = 3.307692308 Simplifying x = 3.307692308
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