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Simplifying 1 + -3x = 7x + -49 Reorder the terms: 1 + -3x = -49 + 7x Solving 1 + -3x = -49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + -3x + -7x = -49 + 7x + -7x Combine like terms: -3x + -7x = -10x 1 + -10x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -10x = -49 + 0 1 + -10x = -49 Add '-1' to each side of the equation. 1 + -1 + -10x = -49 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = -49 + -1 -10x = -49 + -1 Combine like terms: -49 + -1 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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