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Simplifying 3(x + x + 1) + -2(x + 2) = 527 Reorder the terms: 3(1 + x + x) + -2(x + 2) = 527 Combine like terms: x + x = 2x 3(1 + 2x) + -2(x + 2) = 527 (1 * 3 + 2x * 3) + -2(x + 2) = 527 (3 + 6x) + -2(x + 2) = 527 Reorder the terms: 3 + 6x + -2(2 + x) = 527 3 + 6x + (2 * -2 + x * -2) = 527 3 + 6x + (-4 + -2x) = 527 Reorder the terms: 3 + -4 + 6x + -2x = 527 Combine like terms: 3 + -4 = -1 -1 + 6x + -2x = 527 Combine like terms: 6x + -2x = 4x -1 + 4x = 527 Solving -1 + 4x = 527 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 527 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 527 + 1 4x = 527 + 1 Combine like terms: 527 + 1 = 528 4x = 528 Divide each side by '4'. x = 132 Simplifying x = 132
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