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Simplifying x + 5(x + 6) + 25 + -12(x + -12 + 5) = 25 Reorder the terms: x + 5(6 + x) + 25 + -12(x + -12 + 5) = 25 x + (6 * 5 + x * 5) + 25 + -12(x + -12 + 5) = 25 x + (30 + 5x) + 25 + -12(x + -12 + 5) = 25 Reorder the terms: x + 30 + 5x + 25 + -12(-12 + 5 + x) = 25 Combine like terms: -12 + 5 = -7 x + 30 + 5x + 25 + -12(-7 + x) = 25 x + 30 + 5x + 25 + (-7 * -12 + x * -12) = 25 x + 30 + 5x + 25 + (84 + -12x) = 25 Reorder the terms: 30 + 25 + 84 + x + 5x + -12x = 25 Combine like terms: 30 + 25 = 55 55 + 84 + x + 5x + -12x = 25 Combine like terms: 55 + 84 = 139 139 + x + 5x + -12x = 25 Combine like terms: x + 5x = 6x 139 + 6x + -12x = 25 Combine like terms: 6x + -12x = -6x 139 + -6x = 25 Solving 139 + -6x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-139' to each side of the equation. 139 + -139 + -6x = 25 + -139 Combine like terms: 139 + -139 = 0 0 + -6x = 25 + -139 -6x = 25 + -139 Combine like terms: 25 + -139 = -114 -6x = -114 Divide each side by '-6'. x = 19 Simplifying x = 19
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