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Simplifying 8(x + 6) + -7x = 51 Reorder the terms: 8(6 + x) + -7x = 51 (6 * 8 + x * 8) + -7x = 51 (48 + 8x) + -7x = 51 Combine like terms: 8x + -7x = 1x 48 + 1x = 51 Solving 48 + 1x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 1x = 51 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 51 + -48 1x = 51 + -48 Combine like terms: 51 + -48 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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