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Simplifying 3(2x + -12) = 8(3x + 9) Reorder the terms: 3(-12 + 2x) = 8(3x + 9) (-12 * 3 + 2x * 3) = 8(3x + 9) (-36 + 6x) = 8(3x + 9) Reorder the terms: -36 + 6x = 8(9 + 3x) -36 + 6x = (9 * 8 + 3x * 8) -36 + 6x = (72 + 24x) Solving -36 + 6x = 72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -36 + 6x + -24x = 72 + 24x + -24x Combine like terms: 6x + -24x = -18x -36 + -18x = 72 + 24x + -24x Combine like terms: 24x + -24x = 0 -36 + -18x = 72 + 0 -36 + -18x = 72 Add '36' to each side of the equation. -36 + 36 + -18x = 72 + 36 Combine like terms: -36 + 36 = 0 0 + -18x = 72 + 36 -18x = 72 + 36 Combine like terms: 72 + 36 = 108 -18x = 108 Divide each side by '-18'. x = -6 Simplifying x = -6
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