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Simplifying 2(x + 1) = -4(x + 2) + 22 Reorder the terms: 2(1 + x) = -4(x + 2) + 22 (1 * 2 + x * 2) = -4(x + 2) + 22 (2 + 2x) = -4(x + 2) + 22 Reorder the terms: 2 + 2x = -4(2 + x) + 22 2 + 2x = (2 * -4 + x * -4) + 22 2 + 2x = (-8 + -4x) + 22 Reorder the terms: 2 + 2x = -8 + 22 + -4x Combine like terms: -8 + 22 = 14 2 + 2x = 14 + -4x Solving 2 + 2x = 14 + -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 = 14 + -4x + 4x Combine like terms: 2x + 4x = 6x 2 + 6x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 6x = 14 + 0 2 + 6x = 14 Add '-2' to each side of the equation. 2 + -2 + 6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 14 + -2 6x = 14 + -2 Combine like terms: 14 + -2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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