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Simplifying 3(2x + -12) = 2(4x + -11) Reorder the terms: 3(-12 + 2x) = 2(4x + -11) (-12 * 3 + 2x * 3) = 2(4x + -11) (-36 + 6x) = 2(4x + -11) Reorder the terms: -36 + 6x = 2(-11 + 4x) -36 + 6x = (-11 * 2 + 4x * 2) -36 + 6x = (-22 + 8x) Solving -36 + 6x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + 6x + -8x = -22 + 8x + -8x Combine like terms: 6x + -8x = -2x -36 + -2x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -2x = -22 + 0 -36 + -2x = -22 Add '36' to each side of the equation. -36 + 36 + -2x = -22 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -22 + 36 -2x = -22 + 36 Combine like terms: -22 + 36 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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