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