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Simplifying 3[2(x + 5) + 4(x + 10)] + 2(2x + 70) = 312 Reorder the terms: 3[2(5 + x) + 4(x + 10)] + 2(2x + 70) = 312 3[(5 * 2 + x * 2) + 4(x + 10)] + 2(2x + 70) = 312 3[(10 + 2x) + 4(x + 10)] + 2(2x + 70) = 312 Reorder the terms: 3[10 + 2x + 4(10 + x)] + 2(2x + 70) = 312 3[10 + 2x + (10 * 4 + x * 4)] + 2(2x + 70) = 312 3[10 + 2x + (40 + 4x)] + 2(2x + 70) = 312 Reorder the terms: 3[10 + 40 + 2x + 4x] + 2(2x + 70) = 312 Combine like terms: 10 + 40 = 50 3[50 + 2x + 4x] + 2(2x + 70) = 312 Combine like terms: 2x + 4x = 6x 3[50 + 6x] + 2(2x + 70) = 312 [50 * 3 + 6x * 3] + 2(2x + 70) = 312 [150 + 18x] + 2(2x + 70) = 312 Reorder the terms: 150 + 18x + 2(70 + 2x) = 312 150 + 18x + (70 * 2 + 2x * 2) = 312 150 + 18x + (140 + 4x) = 312 Reorder the terms: 150 + 140 + 18x + 4x = 312 Combine like terms: 150 + 140 = 290 290 + 18x + 4x = 312 Combine like terms: 18x + 4x = 22x 290 + 22x = 312 Solving 290 + 22x = 312 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-290' to each side of the equation. 290 + -290 + 22x = 312 + -290 Combine like terms: 290 + -290 = 0 0 + 22x = 312 + -290 22x = 312 + -290 Combine like terms: 312 + -290 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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