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Simplifying 6(x + 2) = 8(x + 1) Reorder the terms: 6(2 + x) = 8(x + 1) (2 * 6 + x * 6) = 8(x + 1) (12 + 6x) = 8(x + 1) Reorder the terms: 12 + 6x = 8(1 + x) 12 + 6x = (1 * 8 + x * 8) 12 + 6x = (8 + 8x) Solving 12 + 6x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = 8 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = 8 + 0 12 + -2x = 8 Add '-12' to each side of the equation. 12 + -12 + -2x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 8 + -12 -2x = 8 + -12 Combine like terms: 8 + -12 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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