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Simplifying 2(2x + -2) + 2(3x + 8) = 172 Reorder the terms: 2(-2 + 2x) + 2(3x + 8) = 172 (-2 * 2 + 2x * 2) + 2(3x + 8) = 172 (-4 + 4x) + 2(3x + 8) = 172 Reorder the terms: -4 + 4x + 2(8 + 3x) = 172 -4 + 4x + (8 * 2 + 3x * 2) = 172 -4 + 4x + (16 + 6x) = 172 Reorder the terms: -4 + 16 + 4x + 6x = 172 Combine like terms: -4 + 16 = 12 12 + 4x + 6x = 172 Combine like terms: 4x + 6x = 10x 12 + 10x = 172 Solving 12 + 10x = 172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10x = 172 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 172 + -12 10x = 172 + -12 Combine like terms: 172 + -12 = 160 10x = 160 Divide each side by '10'. x = 16 Simplifying x = 16
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