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Simplifying 3(4x + 7) + -4(12x + -15) = 0 Reorder the terms: 3(7 + 4x) + -4(12x + -15) = 0 (7 * 3 + 4x * 3) + -4(12x + -15) = 0 (21 + 12x) + -4(12x + -15) = 0 Reorder the terms: 21 + 12x + -4(-15 + 12x) = 0 21 + 12x + (-15 * -4 + 12x * -4) = 0 21 + 12x + (60 + -48x) = 0 Reorder the terms: 21 + 60 + 12x + -48x = 0 Combine like terms: 21 + 60 = 81 81 + 12x + -48x = 0 Combine like terms: 12x + -48x = -36x 81 + -36x = 0 Solving 81 + -36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -36x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -36x = 0 + -81 -36x = 0 + -81 Combine like terms: 0 + -81 = -81 -36x = -81 Divide each side by '-36'. x = 2.25 Simplifying x = 2.25
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