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Simplifying 4(4x + -3) + -5(x + -12) = 0 Reorder the terms: 4(-3 + 4x) + -5(x + -12) = 0 (-3 * 4 + 4x * 4) + -5(x + -12) = 0 (-12 + 16x) + -5(x + -12) = 0 Reorder the terms: -12 + 16x + -5(-12 + x) = 0 -12 + 16x + (-12 * -5 + x * -5) = 0 -12 + 16x + (60 + -5x) = 0 Reorder the terms: -12 + 60 + 16x + -5x = 0 Combine like terms: -12 + 60 = 48 48 + 16x + -5x = 0 Combine like terms: 16x + -5x = 11x 48 + 11x = 0 Solving 48 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 11x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 11x = 0 + -48 11x = 0 + -48 Combine like terms: 0 + -48 = -48 11x = -48 Divide each side by '11'. x = -4.363636364 Simplifying x = -4.363636364
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