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Simplifying 4(3x + 1) + 30 = 8x + -2 Reorder the terms: 4(1 + 3x) + 30 = 8x + -2 (1 * 4 + 3x * 4) + 30 = 8x + -2 (4 + 12x) + 30 = 8x + -2 Reorder the terms: 4 + 30 + 12x = 8x + -2 Combine like terms: 4 + 30 = 34 34 + 12x = 8x + -2 Reorder the terms: 34 + 12x = -2 + 8x Solving 34 + 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. 34 + 12x + -8x = -2 + 8x + -8x Combine like terms: 12x + -8x = 4x 34 + 4x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + 4x = -2 + 0 34 + 4x = -2 Add '-34' to each side of the equation. 34 + -34 + 4x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 4x = -2 + -34 4x = -2 + -34 Combine like terms: -2 + -34 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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