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Simplifying 0 = -3(4x + 2) + 5(2x + -3) Reorder the terms: 0 = -3(2 + 4x) + 5(2x + -3) 0 = (2 * -3 + 4x * -3) + 5(2x + -3) 0 = (-6 + -12x) + 5(2x + -3) Reorder the terms: 0 = -6 + -12x + 5(-3 + 2x) 0 = -6 + -12x + (-3 * 5 + 2x * 5) 0 = -6 + -12x + (-15 + 10x) Reorder the terms: 0 = -6 + -15 + -12x + 10x Combine like terms: -6 + -15 = -21 0 = -21 + -12x + 10x Combine like terms: -12x + 10x = -2x 0 = -21 + -2x Solving 0 = -21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 0 + 2x = -21 + -2x + 2x Remove the zero: 2x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 2x = -21 + 0 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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