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Simplifying 7(2x + 1) + -6(x + 8) = 12 Reorder the terms: 7(1 + 2x) + -6(x + 8) = 12 (1 * 7 + 2x * 7) + -6(x + 8) = 12 (7 + 14x) + -6(x + 8) = 12 Reorder the terms: 7 + 14x + -6(8 + x) = 12 7 + 14x + (8 * -6 + x * -6) = 12 7 + 14x + (-48 + -6x) = 12 Reorder the terms: 7 + -48 + 14x + -6x = 12 Combine like terms: 7 + -48 = -41 -41 + 14x + -6x = 12 Combine like terms: 14x + -6x = 8x -41 + 8x = 12 Solving -41 + 8x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 8x = 12 + 41 Combine like terms: -41 + 41 = 0 0 + 8x = 12 + 41 8x = 12 + 41 Combine like terms: 12 + 41 = 53 8x = 53 Divide each side by '8'. x = 6.625 Simplifying x = 6.625
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