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Simplifying 3x + -1(5x + -21) = 6x + (9 + -4x) Reorder the terms: 3x + -1(-21 + 5x) = 6x + (9 + -4x) 3x + (-21 * -1 + 5x * -1) = 6x + (9 + -4x) 3x + (21 + -5x) = 6x + (9 + -4x) Reorder the terms: 21 + 3x + -5x = 6x + (9 + -4x) Combine like terms: 3x + -5x = -2x 21 + -2x = 6x + (9 + -4x) Remove parenthesis around (9 + -4x) 21 + -2x = 6x + 9 + -4x Reorder the terms: 21 + -2x = 9 + 6x + -4x Combine like terms: 6x + -4x = 2x 21 + -2x = 9 + 2x Solving 21 + -2x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + -2x + -2x = 9 + 2x + -2x Combine like terms: -2x + -2x = -4x 21 + -4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -4x = 9 + 0 21 + -4x = 9 Add '-21' to each side of the equation. 21 + -21 + -4x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 9 + -21 -4x = 9 + -21 Combine like terms: 9 + -21 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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