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Simplifying 25 + 2x = -5(1 + 6x) + -2 25 + 2x = (1 * -5 + 6x * -5) + -2 25 + 2x = (-5 + -30x) + -2 Reorder the terms: 25 + 2x = -5 + -2 + -30x Combine like terms: -5 + -2 = -7 25 + 2x = -7 + -30x Solving 25 + 2x = -7 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 25 + 2x + 30x = -7 + -30x + 30x Combine like terms: 2x + 30x = 32x 25 + 32x = -7 + -30x + 30x Combine like terms: -30x + 30x = 0 25 + 32x = -7 + 0 25 + 32x = -7 Add '-25' to each side of the equation. 25 + -25 + 32x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + 32x = -7 + -25 32x = -7 + -25 Combine like terms: -7 + -25 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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