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Simplifying 2(5x + 4) + 2(x + 2) + 2(4x + -1) = 90 Reorder the terms: 2(4 + 5x) + 2(x + 2) + 2(4x + -1) = 90 (4 * 2 + 5x * 2) + 2(x + 2) + 2(4x + -1) = 90 (8 + 10x) + 2(x + 2) + 2(4x + -1) = 90 Reorder the terms: 8 + 10x + 2(2 + x) + 2(4x + -1) = 90 8 + 10x + (2 * 2 + x * 2) + 2(4x + -1) = 90 8 + 10x + (4 + 2x) + 2(4x + -1) = 90 Reorder the terms: 8 + 10x + 4 + 2x + 2(-1 + 4x) = 90 8 + 10x + 4 + 2x + (-1 * 2 + 4x * 2) = 90 8 + 10x + 4 + 2x + (-2 + 8x) = 90 Reorder the terms: 8 + 4 + -2 + 10x + 2x + 8x = 90 Combine like terms: 8 + 4 = 12 12 + -2 + 10x + 2x + 8x = 90 Combine like terms: 12 + -2 = 10 10 + 10x + 2x + 8x = 90 Combine like terms: 10x + 2x = 12x 10 + 12x + 8x = 90 Combine like terms: 12x + 8x = 20x 10 + 20x = 90 Solving 10 + 20x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 20x = 90 + -10 Combine like terms: 10 + -10 = 0 0 + 20x = 90 + -10 20x = 90 + -10 Combine like terms: 90 + -10 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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