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Simplifying 3(6x + -12) = 2(8x + -4) Reorder the terms: 3(-12 + 6x) = 2(8x + -4) (-12 * 3 + 6x * 3) = 2(8x + -4) (-36 + 18x) = 2(8x + -4) Reorder the terms: -36 + 18x = 2(-4 + 8x) -36 + 18x = (-4 * 2 + 8x * 2) -36 + 18x = (-8 + 16x) Solving -36 + 18x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -36 + 18x + -16x = -8 + 16x + -16x Combine like terms: 18x + -16x = 2x -36 + 2x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -36 + 2x = -8 + 0 -36 + 2x = -8 Add '36' to each side of the equation. -36 + 36 + 2x = -8 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -8 + 36 2x = -8 + 36 Combine like terms: -8 + 36 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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