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Simplifying 8(x + 3) + 4(12 + x) = 90 Reorder the terms: 8(3 + x) + 4(12 + x) = 90 (3 * 8 + x * 8) + 4(12 + x) = 90 (24 + 8x) + 4(12 + x) = 90 24 + 8x + (12 * 4 + x * 4) = 90 24 + 8x + (48 + 4x) = 90 Reorder the terms: 24 + 48 + 8x + 4x = 90 Combine like terms: 24 + 48 = 72 72 + 8x + 4x = 90 Combine like terms: 8x + 4x = 12x 72 + 12x = 90 Solving 72 + 12x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 12x = 90 + -72 Combine like terms: 72 + -72 = 0 0 + 12x = 90 + -72 12x = 90 + -72 Combine like terms: 90 + -72 = 18 12x = 18 Divide each side by '12'. x = 1.5 Simplifying x = 1.5
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