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Simplifying (2)(2x + -5) + (2)(3x + 8) = 156 Reorder the terms: 2(-5 + 2x) + (2)(3x + 8) = 156 (-5 * 2 + 2x * 2) + (2)(3x + 8) = 156 (-10 + 4x) + (2)(3x + 8) = 156 Reorder the terms: -10 + 4x + 2(8 + 3x) = 156 -10 + 4x + (8 * 2 + 3x * 2) = 156 -10 + 4x + (16 + 6x) = 156 Reorder the terms: -10 + 16 + 4x + 6x = 156 Combine like terms: -10 + 16 = 6 6 + 4x + 6x = 156 Combine like terms: 4x + 6x = 10x 6 + 10x = 156 Solving 6 + 10x = 156 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 10x = 156 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 156 + -6 10x = 156 + -6 Combine like terms: 156 + -6 = 150 10x = 150 Divide each side by '10'. x = 15 Simplifying x = 15
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