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Simplifying 2(x + 3) + 7 = 25 + -2(x + -2) Reorder the terms: 2(3 + x) + 7 = 25 + -2(x + -2) (3 * 2 + x * 2) + 7 = 25 + -2(x + -2) (6 + 2x) + 7 = 25 + -2(x + -2) Reorder the terms: 6 + 7 + 2x = 25 + -2(x + -2) Combine like terms: 6 + 7 = 13 13 + 2x = 25 + -2(x + -2) Reorder the terms: 13 + 2x = 25 + -2(-2 + x) 13 + 2x = 25 + (-2 * -2 + x * -2) 13 + 2x = 25 + (4 + -2x) Combine like terms: 25 + 4 = 29 13 + 2x = 29 + -2x Solving 13 + 2x = 29 + -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. 13 + 2x + 2x = 29 + -2x + 2x Combine like terms: 2x + 2x = 4x 13 + 4x = 29 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 4x = 29 + 0 13 + 4x = 29 Add '-13' to each side of the equation. 13 + -13 + 4x = 29 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 29 + -13 4x = 29 + -13 Combine like terms: 29 + -13 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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