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Simplifying 2x + 2(3x + -4) = 2x + 22 Reorder the terms: 2x + 2(-4 + 3x) = 2x + 22 2x + (-4 * 2 + 3x * 2) = 2x + 22 2x + (-8 + 6x) = 2x + 22 Reorder the terms: -8 + 2x + 6x = 2x + 22 Combine like terms: 2x + 6x = 8x -8 + 8x = 2x + 22 Reorder the terms: -8 + 8x = 22 + 2x Solving -8 + 8x = 22 + 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. -8 + 8x + -2x = 22 + 2x + -2x Combine like terms: 8x + -2x = 6x -8 + 6x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 6x = 22 + 0 -8 + 6x = 22 Add '8' to each side of the equation. -8 + 8 + 6x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 22 + 8 6x = 22 + 8 Combine like terms: 22 + 8 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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