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Simplifying 3 + -2(1 + 2x) = 3x + 22 3 + (1 * -2 + 2x * -2) = 3x + 22 3 + (-2 + -4x) = 3x + 22 Combine like terms: 3 + -2 = 1 1 + -4x = 3x + 22 Reorder the terms: 1 + -4x = 22 + 3x Solving 1 + -4x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 1 + -4x + -3x = 22 + 3x + -3x Combine like terms: -4x + -3x = -7x 1 + -7x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -7x = 22 + 0 1 + -7x = 22 Add '-1' to each side of the equation. 1 + -1 + -7x = 22 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 22 + -1 -7x = 22 + -1 Combine like terms: 22 + -1 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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