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Simplifying -4(3x + -2) + 5(3x + -3) = 0 Reorder the terms: -4(-2 + 3x) + 5(3x + -3) = 0 (-2 * -4 + 3x * -4) + 5(3x + -3) = 0 (8 + -12x) + 5(3x + -3) = 0 Reorder the terms: 8 + -12x + 5(-3 + 3x) = 0 8 + -12x + (-3 * 5 + 3x * 5) = 0 8 + -12x + (-15 + 15x) = 0 Reorder the terms: 8 + -15 + -12x + 15x = 0 Combine like terms: 8 + -15 = -7 -7 + -12x + 15x = 0 Combine like terms: -12x + 15x = 3x -7 + 3x = 0 Solving -7 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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