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Simplifying 2(3x + -2) + 2(x + 7) = 55 Reorder the terms: 2(-2 + 3x) + 2(x + 7) = 55 (-2 * 2 + 3x * 2) + 2(x + 7) = 55 (-4 + 6x) + 2(x + 7) = 55 Reorder the terms: -4 + 6x + 2(7 + x) = 55 -4 + 6x + (7 * 2 + x * 2) = 55 -4 + 6x + (14 + 2x) = 55 Reorder the terms: -4 + 14 + 6x + 2x = 55 Combine like terms: -4 + 14 = 10 10 + 6x + 2x = 55 Combine like terms: 6x + 2x = 8x 10 + 8x = 55 Solving 10 + 8x = 55 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 + 8x = 55 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 55 + -10 8x = 55 + -10 Combine like terms: 55 + -10 = 45 8x = 45 Divide each side by '8'. x = 5.625 Simplifying x = 5.625
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