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Simplifying 2 + -1(6x + -25) = 7(x + -2) Reorder the terms: 2 + -1(-25 + 6x) = 7(x + -2) 2 + (-25 * -1 + 6x * -1) = 7(x + -2) 2 + (25 + -6x) = 7(x + -2) Combine like terms: 2 + 25 = 27 27 + -6x = 7(x + -2) Reorder the terms: 27 + -6x = 7(-2 + x) 27 + -6x = (-2 * 7 + x * 7) 27 + -6x = (-14 + 7x) Solving 27 + -6x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + -6x + -7x = -14 + 7x + -7x Combine like terms: -6x + -7x = -13x 27 + -13x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -13x = -14 + 0 27 + -13x = -14 Add '-27' to each side of the equation. 27 + -27 + -13x = -14 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = -14 + -27 -13x = -14 + -27 Combine like terms: -14 + -27 = -41 -13x = -41 Divide each side by '-13'. x = 3.153846154 Simplifying x = 3.153846154
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