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Simplifying 3x + 5 = 3(x + -1) + 8 + x Reorder the terms: 5 + 3x = 3(x + -1) + 8 + x Reorder the terms: 5 + 3x = 3(-1 + x) + 8 + x 5 + 3x = (-1 * 3 + x * 3) + 8 + x 5 + 3x = (-3 + 3x) + 8 + x Reorder the terms: 5 + 3x = -3 + 8 + 3x + x Combine like terms: -3 + 8 = 5 5 + 3x = 5 + 3x + x Combine like terms: 3x + x = 4x 5 + 3x = 5 + 4x Add '-5' to each side of the equation. 5 + -5 + 3x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 0 + 3x = 5 + -5 + 4x 3x = 5 + -5 + 4x Combine like terms: 5 + -5 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 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. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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