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Simplifying 4x + -1(4) = 2x + 1(2) + x + 2(2) Multiply -1 * 4 4x + -4 = 2x + 1(2) + x + 2(2) Reorder the terms: -4 + 4x = 2x + 1(2) + x + 2(2) Multiply 1 * 2 -4 + 4x = 2x + 2 + x + 2(2) Multiply 2 * 2 -4 + 4x = 2x + 2 + x + 4 Reorder the terms: -4 + 4x = 2 + 4 + 2x + x Combine like terms: 2 + 4 = 6 -4 + 4x = 6 + 2x + x Combine like terms: 2x + x = 3x -4 + 4x = 6 + 3x Solving -4 + 4x = 6 + 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. -4 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x -4 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 1x = 6 + 0 -4 + 1x = 6 Add '4' to each side of the equation. -4 + 4 + 1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 6 + 4 1x = 6 + 4 Combine like terms: 6 + 4 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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