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Simplifying 4(x + -3) + 6(4x + 5) = 0 Reorder the terms: 4(-3 + x) + 6(4x + 5) = 0 (-3 * 4 + x * 4) + 6(4x + 5) = 0 (-12 + 4x) + 6(4x + 5) = 0 Reorder the terms: -12 + 4x + 6(5 + 4x) = 0 -12 + 4x + (5 * 6 + 4x * 6) = 0 -12 + 4x + (30 + 24x) = 0 Reorder the terms: -12 + 30 + 4x + 24x = 0 Combine like terms: -12 + 30 = 18 18 + 4x + 24x = 0 Combine like terms: 4x + 24x = 28x 18 + 28x = 0 Solving 18 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 28x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 28x = 0 + -18 28x = 0 + -18 Combine like terms: 0 + -18 = -18 28x = -18 Divide each side by '28'. x = -0.6428571429 Simplifying x = -0.6428571429
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