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Simplifying 4(x) + -1(x + 2) = 12 + 2(x + 4) Reorder the terms: 4x + -1(2 + x) = 12 + 2(x + 4) 4x + (2 * -1 + x * -1) = 12 + 2(x + 4) 4x + (-2 + -1x) = 12 + 2(x + 4) Reorder the terms: -2 + 4x + -1x = 12 + 2(x + 4) Combine like terms: 4x + -1x = 3x -2 + 3x = 12 + 2(x + 4) Reorder the terms: -2 + 3x = 12 + 2(4 + x) -2 + 3x = 12 + (4 * 2 + x * 2) -2 + 3x = 12 + (8 + 2x) Combine like terms: 12 + 8 = 20 -2 + 3x = 20 + 2x Solving -2 + 3x = 20 + 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. -2 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = 20 + 0 -2 + 1x = 20 Add '2' to each side of the equation. -2 + 2 + 1x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 20 + 2 1x = 20 + 2 Combine like terms: 20 + 2 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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