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Simplifying 3(x + 15) + 4(9 + -1x) = 0 Reorder the terms: 3(15 + x) + 4(9 + -1x) = 0 (15 * 3 + x * 3) + 4(9 + -1x) = 0 (45 + 3x) + 4(9 + -1x) = 0 45 + 3x + (9 * 4 + -1x * 4) = 0 45 + 3x + (36 + -4x) = 0 Reorder the terms: 45 + 36 + 3x + -4x = 0 Combine like terms: 45 + 36 = 81 81 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 81 + -1x = 0 Solving 81 + -1x = 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 + -1x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -1x = 0 + -81 -1x = 0 + -81 Combine like terms: 0 + -81 = -81 -1x = -81 Divide each side by '-1'. x = 81 Simplifying x = 81
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