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Simplifying 3(2x + -5) = 4(3x + 2) Reorder the terms: 3(-5 + 2x) = 4(3x + 2) (-5 * 3 + 2x * 3) = 4(3x + 2) (-15 + 6x) = 4(3x + 2) Reorder the terms: -15 + 6x = 4(2 + 3x) -15 + 6x = (2 * 4 + 3x * 4) -15 + 6x = (8 + 12x) Solving -15 + 6x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 6x + -12x = 8 + 12x + -12x Combine like terms: 6x + -12x = -6x -15 + -6x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -6x = 8 + 0 -15 + -6x = 8 Add '15' to each side of the equation. -15 + 15 + -6x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 8 + 15 -6x = 8 + 15 Combine like terms: 8 + 15 = 23 -6x = 23 Divide each side by '-6'. x = -3.833333333 Simplifying x = -3.833333333
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