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Simplifying 3(4x + -5) = 2(3x + -2) Reorder the terms: 3(-5 + 4x) = 2(3x + -2) (-5 * 3 + 4x * 3) = 2(3x + -2) (-15 + 12x) = 2(3x + -2) Reorder the terms: -15 + 12x = 2(-2 + 3x) -15 + 12x = (-2 * 2 + 3x * 2) -15 + 12x = (-4 + 6x) Solving -15 + 12x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 12x + -6x = -4 + 6x + -6x Combine like terms: 12x + -6x = 6x -15 + 6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 6x = -4 + 0 -15 + 6x = -4 Add '15' to each side of the equation. -15 + 15 + 6x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = -4 + 15 6x = -4 + 15 Combine like terms: -4 + 15 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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