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Simplifying 4(x + 1) = 6 + -1(4x + 2) Reorder the terms: 4(1 + x) = 6 + -1(4x + 2) (1 * 4 + x * 4) = 6 + -1(4x + 2) (4 + 4x) = 6 + -1(4x + 2) Reorder the terms: 4 + 4x = 6 + -1(2 + 4x) 4 + 4x = 6 + (2 * -1 + 4x * -1) 4 + 4x = 6 + (-2 + -4x) Combine like terms: 6 + -2 = 4 4 + 4x = 4 + -4x Add '-4' to each side of the equation. 4 + -4 + 4x = 4 + -4 + -4x Combine like terms: 4 + -4 = 0 0 + 4x = 4 + -4 + -4x 4x = 4 + -4 + -4x Combine like terms: 4 + -4 = 0 4x = 0 + -4x 4x = -4x Solving 4x = -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. 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x 8x = -4x + 4x Combine like terms: -4x + 4x = 0 8x = 0 Divide each side by '8'. x = 0 Simplifying x = 0
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