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Simplifying 2(3x + -5) = 3(x + -2) Reorder the terms: 2(-5 + 3x) = 3(x + -2) (-5 * 2 + 3x * 2) = 3(x + -2) (-10 + 6x) = 3(x + -2) Reorder the terms: -10 + 6x = 3(-2 + x) -10 + 6x = (-2 * 3 + x * 3) -10 + 6x = (-6 + 3x) Solving -10 + 6x = -6 + 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 = -6 + 3x + -3x Combine like terms: 6x + -3x = 3x -10 + 3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 3x = -6 + 0 -10 + 3x = -6 Add '10' to each side of the equation. -10 + 10 + 3x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -6 + 10 3x = -6 + 10 Combine like terms: -6 + 10 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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