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Simplifying 4(x + 1) = 5x + -2x + 4 Reorder the terms: 4(1 + x) = 5x + -2x + 4 (1 * 4 + x * 4) = 5x + -2x + 4 (4 + 4x) = 5x + -2x + 4 Reorder the terms: 4 + 4x = 4 + 5x + -2x Combine like terms: 5x + -2x = 3x 4 + 4x = 4 + 3x Add '-4' to each side of the equation. 4 + -4 + 4x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + 4x = 4 + -4 + 3x 4x = 4 + -4 + 3x Combine like terms: 4 + -4 = 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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