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Simplifying 4(x + 1) + 2 = -2 + 3x Reorder the terms: 4(1 + x) + 2 = -2 + 3x (1 * 4 + x * 4) + 2 = -2 + 3x (4 + 4x) + 2 = -2 + 3x Reorder the terms: 4 + 2 + 4x = -2 + 3x Combine like terms: 4 + 2 = 6 6 + 4x = -2 + 3x Solving 6 + 4x = -2 + 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. 6 + 4x + -3x = -2 + 3x + -3x Combine like terms: 4x + -3x = 1x 6 + 1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 1x = -2 + 0 6 + 1x = -2 Add '-6' to each side of the equation. 6 + -6 + 1x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -2 + -6 1x = -2 + -6 Combine like terms: -2 + -6 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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