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Simplifying 3(2x + -7) + 6 = 12x Reorder the terms: 3(-7 + 2x) + 6 = 12x (-7 * 3 + 2x * 3) + 6 = 12x (-21 + 6x) + 6 = 12x Reorder the terms: -21 + 6 + 6x = 12x Combine like terms: -21 + 6 = -15 -15 + 6x = 12x Solving -15 + 6x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + 6x + -12x = 12x + -12x Combine like terms: 6x + -12x = -6x -15 + -6x = 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -6x = 0 Add '15' to each side of the equation. -15 + 15 + -6x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 0 + 15 -6x = 0 + 15 Combine like terms: 0 + 15 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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