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Simplifying 21 + 3x + -7(x + 4) = 3(x + 1) + -3(x + -1) Reorder the terms: 21 + 3x + -7(4 + x) = 3(x + 1) + -3(x + -1) 21 + 3x + (4 * -7 + x * -7) = 3(x + 1) + -3(x + -1) 21 + 3x + (-28 + -7x) = 3(x + 1) + -3(x + -1) Reorder the terms: 21 + -28 + 3x + -7x = 3(x + 1) + -3(x + -1) Combine like terms: 21 + -28 = -7 -7 + 3x + -7x = 3(x + 1) + -3(x + -1) Combine like terms: 3x + -7x = -4x -7 + -4x = 3(x + 1) + -3(x + -1) Reorder the terms: -7 + -4x = 3(1 + x) + -3(x + -1) -7 + -4x = (1 * 3 + x * 3) + -3(x + -1) -7 + -4x = (3 + 3x) + -3(x + -1) Reorder the terms: -7 + -4x = 3 + 3x + -3(-1 + x) -7 + -4x = 3 + 3x + (-1 * -3 + x * -3) -7 + -4x = 3 + 3x + (3 + -3x) Reorder the terms: -7 + -4x = 3 + 3 + 3x + -3x Combine like terms: 3 + 3 = 6 -7 + -4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -4x = 6 + 0 -7 + -4x = 6 Solving -7 + -4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 6 + 7 -4x = 6 + 7 Combine like terms: 6 + 7 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25
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