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Simplifying 2(2x + -1) + (x + -4) = 21 + -4x Reorder the terms: 2(-1 + 2x) + (x + -4) = 21 + -4x (-1 * 2 + 2x * 2) + (x + -4) = 21 + -4x (-2 + 4x) + (x + -4) = 21 + -4x Reorder the terms: -2 + 4x + (-4 + x) = 21 + -4x Remove parenthesis around (-4 + x) -2 + 4x + -4 + x = 21 + -4x Reorder the terms: -2 + -4 + 4x + x = 21 + -4x Combine like terms: -2 + -4 = -6 -6 + 4x + x = 21 + -4x Combine like terms: 4x + x = 5x -6 + 5x = 21 + -4x Solving -6 + 5x = 21 + -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. -6 + 5x + 4x = 21 + -4x + 4x Combine like terms: 5x + 4x = 9x -6 + 9x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 9x = 21 + 0 -6 + 9x = 21 Add '6' to each side of the equation. -6 + 6 + 9x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 21 + 6 9x = 21 + 6 Combine like terms: 21 + 6 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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