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Simplifying 4(3 + -1x) + -5(-7 + -12x) = 0 (3 * 4 + -1x * 4) + -5(-7 + -12x) = 0 (12 + -4x) + -5(-7 + -12x) = 0 12 + -4x + (-7 * -5 + -12x * -5) = 0 12 + -4x + (35 + 60x) = 0 Reorder the terms: 12 + 35 + -4x + 60x = 0 Combine like terms: 12 + 35 = 47 47 + -4x + 60x = 0 Combine like terms: -4x + 60x = 56x 47 + 56x = 0 Solving 47 + 56x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 56x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 56x = 0 + -47 56x = 0 + -47 Combine like terms: 0 + -47 = -47 56x = -47 Divide each side by '56'. x = -0.8392857143 Simplifying x = -0.8392857143
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