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Simplifying 7x + 4(x + -2) = x + 12 Reorder the terms: 7x + 4(-2 + x) = x + 12 7x + (-2 * 4 + x * 4) = x + 12 7x + (-8 + 4x) = x + 12 Reorder the terms: -8 + 7x + 4x = x + 12 Combine like terms: 7x + 4x = 11x -8 + 11x = x + 12 Reorder the terms: -8 + 11x = 12 + x Solving -8 + 11x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 11x + -1x = 12 + x + -1x Combine like terms: 11x + -1x = 10x -8 + 10x = 12 + x + -1x Combine like terms: x + -1x = 0 -8 + 10x = 12 + 0 -8 + 10x = 12 Add '8' to each side of the equation. -8 + 8 + 10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 12 + 8 10x = 12 + 8 Combine like terms: 12 + 8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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