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Simplifying 3(2x + 5) + -4(x + 3) = 0 Reorder the terms: 3(5 + 2x) + -4(x + 3) = 0 (5 * 3 + 2x * 3) + -4(x + 3) = 0 (15 + 6x) + -4(x + 3) = 0 Reorder the terms: 15 + 6x + -4(3 + x) = 0 15 + 6x + (3 * -4 + x * -4) = 0 15 + 6x + (-12 + -4x) = 0 Reorder the terms: 15 + -12 + 6x + -4x = 0 Combine like terms: 15 + -12 = 3 3 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 3 + 2x = 0 Solving 3 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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