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Simplifying 3(4x + -6) + 12 = 9x + -15 Reorder the terms: 3(-6 + 4x) + 12 = 9x + -15 (-6 * 3 + 4x * 3) + 12 = 9x + -15 (-18 + 12x) + 12 = 9x + -15 Reorder the terms: -18 + 12 + 12x = 9x + -15 Combine like terms: -18 + 12 = -6 -6 + 12x = 9x + -15 Reorder the terms: -6 + 12x = -15 + 9x Solving -6 + 12x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 12x + -9x = -15 + 9x + -9x Combine like terms: 12x + -9x = 3x -6 + 3x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 3x = -15 + 0 -6 + 3x = -15 Add '6' to each side of the equation. -6 + 6 + 3x = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -15 + 6 3x = -15 + 6 Combine like terms: -15 + 6 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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