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