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Simplifying 0 = 3(2x + -5) + -2(6 + 7x) Reorder the terms: 0 = 3(-5 + 2x) + -2(6 + 7x) 0 = (-5 * 3 + 2x * 3) + -2(6 + 7x) 0 = (-15 + 6x) + -2(6 + 7x) 0 = -15 + 6x + (6 * -2 + 7x * -2) 0 = -15 + 6x + (-12 + -14x) Reorder the terms: 0 = -15 + -12 + 6x + -14x Combine like terms: -15 + -12 = -27 0 = -27 + 6x + -14x Combine like terms: 6x + -14x = -8x 0 = -27 + -8x Solving 0 = -27 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 0 + 8x = -27 + -8x + 8x Remove the zero: 8x = -27 + -8x + 8x Combine like terms: -8x + 8x = 0 8x = -27 + 0 8x = -27 Divide each side by '8'. x = -3.375 Simplifying x = -3.375
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