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Simplifying 3 + -1(2x + 2) = 9 + 4(x + 4) Reorder the terms: 3 + -1(2 + 2x) = 9 + 4(x + 4) 3 + (2 * -1 + 2x * -1) = 9 + 4(x + 4) 3 + (-2 + -2x) = 9 + 4(x + 4) Combine like terms: 3 + -2 = 1 1 + -2x = 9 + 4(x + 4) Reorder the terms: 1 + -2x = 9 + 4(4 + x) 1 + -2x = 9 + (4 * 4 + x * 4) 1 + -2x = 9 + (16 + 4x) Combine like terms: 9 + 16 = 25 1 + -2x = 25 + 4x Solving 1 + -2x = 25 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + -2x + -4x = 25 + 4x + -4x Combine like terms: -2x + -4x = -6x 1 + -6x = 25 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -6x = 25 + 0 1 + -6x = 25 Add '-1' to each side of the equation. 1 + -1 + -6x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 25 + -1 -6x = 25 + -1 Combine like terms: 25 + -1 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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