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Simplifying 7 + -4(x + 6) = 2x + 25 Reorder the terms: 7 + -4(6 + x) = 2x + 25 7 + (6 * -4 + x * -4) = 2x + 25 7 + (-24 + -4x) = 2x + 25 Combine like terms: 7 + -24 = -17 -17 + -4x = 2x + 25 Reorder the terms: -17 + -4x = 25 + 2x Solving -17 + -4x = 25 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + -4x + -2x = 25 + 2x + -2x Combine like terms: -4x + -2x = -6x -17 + -6x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -6x = 25 + 0 -17 + -6x = 25 Add '17' to each side of the equation. -17 + 17 + -6x = 25 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = 25 + 17 -6x = 25 + 17 Combine like terms: 25 + 17 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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