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Simplifying 3x + 5 = -2(x + -9) + 7 Reorder the terms: 5 + 3x = -2(x + -9) + 7 Reorder the terms: 5 + 3x = -2(-9 + x) + 7 5 + 3x = (-9 * -2 + x * -2) + 7 5 + 3x = (18 + -2x) + 7 Reorder the terms: 5 + 3x = 18 + 7 + -2x Combine like terms: 18 + 7 = 25 5 + 3x = 25 + -2x Solving 5 + 3x = 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. 5 + 3x + 2x = 25 + -2x + 2x Combine like terms: 3x + 2x = 5x 5 + 5x = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 5x = 25 + 0 5 + 5x = 25 Add '-5' to each side of the equation. 5 + -5 + 5x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 25 + -5 5x = 25 + -5 Combine like terms: 25 + -5 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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