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