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Simplifying 7x + 4 = -8x + 49 Reorder the terms: 4 + 7x = -8x + 49 Reorder the terms: 4 + 7x = 49 + -8x Solving 4 + 7x = 49 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + 7x + 8x = 49 + -8x + 8x Combine like terms: 7x + 8x = 15x 4 + 15x = 49 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 15x = 49 + 0 4 + 15x = 49 Add '-4' to each side of the equation. 4 + -4 + 15x = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 49 + -4 15x = 49 + -4 Combine like terms: 49 + -4 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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