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Simplifying 7x + -1(4x + 21) = 2 + -1(7x + -4) Reorder the terms: 7x + -1(21 + 4x) = 2 + -1(7x + -4) 7x + (21 * -1 + 4x * -1) = 2 + -1(7x + -4) 7x + (-21 + -4x) = 2 + -1(7x + -4) Reorder the terms: -21 + 7x + -4x = 2 + -1(7x + -4) Combine like terms: 7x + -4x = 3x -21 + 3x = 2 + -1(7x + -4) Reorder the terms: -21 + 3x = 2 + -1(-4 + 7x) -21 + 3x = 2 + (-4 * -1 + 7x * -1) -21 + 3x = 2 + (4 + -7x) Combine like terms: 2 + 4 = 6 -21 + 3x = 6 + -7x Solving -21 + 3x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -21 + 3x + 7x = 6 + -7x + 7x Combine like terms: 3x + 7x = 10x -21 + 10x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 10x = 6 + 0 -21 + 10x = 6 Add '21' to each side of the equation. -21 + 21 + 10x = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 6 + 21 10x = 6 + 21 Combine like terms: 6 + 21 = 27 10x = 27 Divide each side by '10'. x = 2.7 Simplifying x = 2.7
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