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Simplifying 3 + -1(2x + 5) = 2 + 4(x + 2) Reorder the terms: 3 + -1(5 + 2x) = 2 + 4(x + 2) 3 + (5 * -1 + 2x * -1) = 2 + 4(x + 2) 3 + (-5 + -2x) = 2 + 4(x + 2) Combine like terms: 3 + -5 = -2 -2 + -2x = 2 + 4(x + 2) Reorder the terms: -2 + -2x = 2 + 4(2 + x) -2 + -2x = 2 + (2 * 4 + x * 4) -2 + -2x = 2 + (8 + 4x) Combine like terms: 2 + 8 = 10 -2 + -2x = 10 + 4x Solving -2 + -2x = 10 + 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. -2 + -2x + -4x = 10 + 4x + -4x Combine like terms: -2x + -4x = -6x -2 + -6x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -6x = 10 + 0 -2 + -6x = 10 Add '2' to each side of the equation. -2 + 2 + -6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 10 + 2 -6x = 10 + 2 Combine like terms: 10 + 2 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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