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Simplifying 9x + -3 = 21 + 3(x + -2) Reorder the terms: -3 + 9x = 21 + 3(x + -2) Reorder the terms: -3 + 9x = 21 + 3(-2 + x) -3 + 9x = 21 + (-2 * 3 + x * 3) -3 + 9x = 21 + (-6 + 3x) Combine like terms: 21 + -6 = 15 -3 + 9x = 15 + 3x Solving -3 + 9x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 9x + -3x = 15 + 3x + -3x Combine like terms: 9x + -3x = 6x -3 + 6x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 6x = 15 + 0 -3 + 6x = 15 Add '3' to each side of the equation. -3 + 3 + 6x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 15 + 3 6x = 15 + 3 Combine like terms: 15 + 3 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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