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Simplifying 14x + 15 + -3x + 49 = 120 + -10x + 8 + 5x Reorder the terms: 15 + 49 + 14x + -3x = 120 + -10x + 8 + 5x Combine like terms: 15 + 49 = 64 64 + 14x + -3x = 120 + -10x + 8 + 5x Combine like terms: 14x + -3x = 11x 64 + 11x = 120 + -10x + 8 + 5x Reorder the terms: 64 + 11x = 120 + 8 + -10x + 5x Combine like terms: 120 + 8 = 128 64 + 11x = 128 + -10x + 5x Combine like terms: -10x + 5x = -5x 64 + 11x = 128 + -5x Solving 64 + 11x = 128 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 64 + 11x + 5x = 128 + -5x + 5x Combine like terms: 11x + 5x = 16x 64 + 16x = 128 + -5x + 5x Combine like terms: -5x + 5x = 0 64 + 16x = 128 + 0 64 + 16x = 128 Add '-64' to each side of the equation. 64 + -64 + 16x = 128 + -64 Combine like terms: 64 + -64 = 0 0 + 16x = 128 + -64 16x = 128 + -64 Combine like terms: 128 + -64 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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