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Simplifying 3(6x + -12) = 15 + -12(3 + -1x) Reorder the terms: 3(-12 + 6x) = 15 + -12(3 + -1x) (-12 * 3 + 6x * 3) = 15 + -12(3 + -1x) (-36 + 18x) = 15 + -12(3 + -1x) -36 + 18x = 15 + (3 * -12 + -1x * -12) -36 + 18x = 15 + (-36 + 12x) Combine like terms: 15 + -36 = -21 -36 + 18x = -21 + 12x Solving -36 + 18x = -21 + 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. -36 + 18x + -12x = -21 + 12x + -12x Combine like terms: 18x + -12x = 6x -36 + 6x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 -36 + 6x = -21 + 0 -36 + 6x = -21 Add '36' to each side of the equation. -36 + 36 + 6x = -21 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -21 + 36 6x = -21 + 36 Combine like terms: -21 + 36 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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