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Simplifying 6(2x + 8) = 7(2x + 4) Reorder the terms: 6(8 + 2x) = 7(2x + 4) (8 * 6 + 2x * 6) = 7(2x + 4) (48 + 12x) = 7(2x + 4) Reorder the terms: 48 + 12x = 7(4 + 2x) 48 + 12x = (4 * 7 + 2x * 7) 48 + 12x = (28 + 14x) Solving 48 + 12x = 28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 48 + 12x + -14x = 28 + 14x + -14x Combine like terms: 12x + -14x = -2x 48 + -2x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 48 + -2x = 28 + 0 48 + -2x = 28 Add '-48' to each side of the equation. 48 + -48 + -2x = 28 + -48 Combine like terms: 48 + -48 = 0 0 + -2x = 28 + -48 -2x = 28 + -48 Combine like terms: 28 + -48 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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