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Simplifying 21 + -7x = -1(4x + 3) Reorder the terms: 21 + -7x = -1(3 + 4x) 21 + -7x = (3 * -1 + 4x * -1) 21 + -7x = (-3 + -4x) Solving 21 + -7x = -3 + -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. 21 + -7x + 4x = -3 + -4x + 4x Combine like terms: -7x + 4x = -3x 21 + -3x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 21 + -3x = -3 + 0 21 + -3x = -3 Add '-21' to each side of the equation. 21 + -21 + -3x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -3 + -21 -3x = -3 + -21 Combine like terms: -3 + -21 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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