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Simplifying 3(x + -2) = 7(2x + -5) Reorder the terms: 3(-2 + x) = 7(2x + -5) (-2 * 3 + x * 3) = 7(2x + -5) (-6 + 3x) = 7(2x + -5) Reorder the terms: -6 + 3x = 7(-5 + 2x) -6 + 3x = (-5 * 7 + 2x * 7) -6 + 3x = (-35 + 14x) Solving -6 + 3x = -35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 3x + -14x = -35 + 14x + -14x Combine like terms: 3x + -14x = -11x -6 + -11x = -35 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -11x = -35 + 0 -6 + -11x = -35 Add '6' to each side of the equation. -6 + 6 + -11x = -35 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = -35 + 6 -11x = -35 + 6 Combine like terms: -35 + 6 = -29 -11x = -29 Divide each side by '-11'. x = 2.636363636 Simplifying x = 2.636363636
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