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Simplifying 6(x + 8) = 5(x + 4) Reorder the terms: 6(8 + x) = 5(x + 4) (8 * 6 + x * 6) = 5(x + 4) (48 + 6x) = 5(x + 4) Reorder the terms: 48 + 6x = 5(4 + x) 48 + 6x = (4 * 5 + x * 5) 48 + 6x = (20 + 5x) Solving 48 + 6x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 48 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 48 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 1x = 20 + 0 48 + 1x = 20 Add '-48' to each side of the equation. 48 + -48 + 1x = 20 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 20 + -48 1x = 20 + -48 Combine like terms: 20 + -48 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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