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Simplifying 5(x + 5) + 6(x + 6) = 12x Reorder the terms: 5(5 + x) + 6(x + 6) = 12x (5 * 5 + x * 5) + 6(x + 6) = 12x (25 + 5x) + 6(x + 6) = 12x Reorder the terms: 25 + 5x + 6(6 + x) = 12x 25 + 5x + (6 * 6 + x * 6) = 12x 25 + 5x + (36 + 6x) = 12x Reorder the terms: 25 + 36 + 5x + 6x = 12x Combine like terms: 25 + 36 = 61 61 + 5x + 6x = 12x Combine like terms: 5x + 6x = 11x 61 + 11x = 12x Solving 61 + 11x = 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. 61 + 11x + -12x = 12x + -12x Combine like terms: 11x + -12x = -1x 61 + -1x = 12x + -12x Combine like terms: 12x + -12x = 0 61 + -1x = 0 Add '-61' to each side of the equation. 61 + -61 + -1x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -1x = 0 + -61 -1x = 0 + -61 Combine like terms: 0 + -61 = -61 -1x = -61 Divide each side by '-1'. x = 61 Simplifying x = 61
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