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Simplifying 4(3x + 4) + -30 = 8x + 2 Reorder the terms: 4(4 + 3x) + -30 = 8x + 2 (4 * 4 + 3x * 4) + -30 = 8x + 2 (16 + 12x) + -30 = 8x + 2 Reorder the terms: 16 + -30 + 12x = 8x + 2 Combine like terms: 16 + -30 = -14 -14 + 12x = 8x + 2 Reorder the terms: -14 + 12x = 2 + 8x Solving -14 + 12x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 12x + -8x = 2 + 8x + -8x Combine like terms: 12x + -8x = 4x -14 + 4x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 4x = 2 + 0 -14 + 4x = 2 Add '14' to each side of the equation. -14 + 14 + 4x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 2 + 14 4x = 2 + 14 Combine like terms: 2 + 14 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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