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Simplifying 3x + 7 + -5x = 1 + -4x + 8 Reorder the terms: 7 + 3x + -5x = 1 + -4x + 8 Combine like terms: 3x + -5x = -2x 7 + -2x = 1 + -4x + 8 Reorder the terms: 7 + -2x = 1 + 8 + -4x Combine like terms: 1 + 8 = 9 7 + -2x = 9 + -4x Solving 7 + -2x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 7 + -2x + 4x = 9 + -4x + 4x Combine like terms: -2x + 4x = 2x 7 + 2x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + 2x = 9 + 0 7 + 2x = 9 Add '-7' to each side of the equation. 7 + -7 + 2x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 9 + -7 2x = 9 + -7 Combine like terms: 9 + -7 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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