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Simplifying 8(x + 6) = 2(x + 51) Reorder the terms: 8(6 + x) = 2(x + 51) (6 * 8 + x * 8) = 2(x + 51) (48 + 8x) = 2(x + 51) Reorder the terms: 48 + 8x = 2(51 + x) 48 + 8x = (51 * 2 + x * 2) 48 + 8x = (102 + 2x) Solving 48 + 8x = 102 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 8x + -2x = 102 + 2x + -2x Combine like terms: 8x + -2x = 6x 48 + 6x = 102 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 6x = 102 + 0 48 + 6x = 102 Add '-48' to each side of the equation. 48 + -48 + 6x = 102 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 102 + -48 6x = 102 + -48 Combine like terms: 102 + -48 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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