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Simplifying 5(2x + 8) = 2(6x + 12) Reorder the terms: 5(8 + 2x) = 2(6x + 12) (8 * 5 + 2x * 5) = 2(6x + 12) (40 + 10x) = 2(6x + 12) Reorder the terms: 40 + 10x = 2(12 + 6x) 40 + 10x = (12 * 2 + 6x * 2) 40 + 10x = (24 + 12x) Solving 40 + 10x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + 10x + -12x = 24 + 12x + -12x Combine like terms: 10x + -12x = -2x 40 + -2x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -2x = 24 + 0 40 + -2x = 24 Add '-40' to each side of the equation. 40 + -40 + -2x = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 24 + -40 -2x = 24 + -40 Combine like terms: 24 + -40 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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