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Simplifying 4(x + 3) + -8 = 3x + 2 Reorder the terms: 4(3 + x) + -8 = 3x + 2 (3 * 4 + x * 4) + -8 = 3x + 2 (12 + 4x) + -8 = 3x + 2 Reorder the terms: 12 + -8 + 4x = 3x + 2 Combine like terms: 12 + -8 = 4 4 + 4x = 3x + 2 Reorder the terms: 4 + 4x = 2 + 3x Solving 4 + 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. 4 + 4x + -3x = 2 + 3x + -3x Combine like terms: 4x + -3x = 1x 4 + 1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 1x = 2 + 0 4 + 1x = 2 Add '-4' to each side of the equation. 4 + -4 + 1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 2 + -4 1x = 2 + -4 Combine like terms: 2 + -4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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