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Simplifying 4(3x + -2) + 4(3 + -1x) = 30 Reorder the terms: 4(-2 + 3x) + 4(3 + -1x) = 30 (-2 * 4 + 3x * 4) + 4(3 + -1x) = 30 (-8 + 12x) + 4(3 + -1x) = 30 -8 + 12x + (3 * 4 + -1x * 4) = 30 -8 + 12x + (12 + -4x) = 30 Reorder the terms: -8 + 12 + 12x + -4x = 30 Combine like terms: -8 + 12 = 4 4 + 12x + -4x = 30 Combine like terms: 12x + -4x = 8x 4 + 8x = 30 Solving 4 + 8x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8x = 30 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 30 + -4 8x = 30 + -4 Combine like terms: 30 + -4 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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