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Simplifying 9x + -1(x + -3) = 2x + 21 Reorder the terms: 9x + -1(-3 + x) = 2x + 21 9x + (-3 * -1 + x * -1) = 2x + 21 9x + (3 + -1x) = 2x + 21 Reorder the terms: 3 + 9x + -1x = 2x + 21 Combine like terms: 9x + -1x = 8x 3 + 8x = 2x + 21 Reorder the terms: 3 + 8x = 21 + 2x Solving 3 + 8x = 21 + 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. 3 + 8x + -2x = 21 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = 21 + 0 3 + 6x = 21 Add '-3' to each side of the equation. 3 + -3 + 6x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 21 + -3 6x = 21 + -3 Combine like terms: 21 + -3 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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