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Simplifying -3x + 8 = 4x + 1 Reorder the terms: 8 + -3x = 4x + 1 Reorder the terms: 8 + -3x = 1 + 4x Solving 8 + -3x = 1 + 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. 8 + -3x + -4x = 1 + 4x + -4x Combine like terms: -3x + -4x = -7x 8 + -7x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -7x = 1 + 0 8 + -7x = 1 Add '-8' to each side of the equation. 8 + -8 + -7x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 1 + -8 -7x = 1 + -8 Combine like terms: 1 + -8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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