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Simplifying 2(3x + -1) + 2(2x + 7) = 62 Reorder the terms: 2(-1 + 3x) + 2(2x + 7) = 62 (-1 * 2 + 3x * 2) + 2(2x + 7) = 62 (-2 + 6x) + 2(2x + 7) = 62 Reorder the terms: -2 + 6x + 2(7 + 2x) = 62 -2 + 6x + (7 * 2 + 2x * 2) = 62 -2 + 6x + (14 + 4x) = 62 Reorder the terms: -2 + 14 + 6x + 4x = 62 Combine like terms: -2 + 14 = 12 12 + 6x + 4x = 62 Combine like terms: 6x + 4x = 10x 12 + 10x = 62 Solving 12 + 10x = 62 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 = 62 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 62 + -12 10x = 62 + -12 Combine like terms: 62 + -12 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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