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Simplifying 2(3x + -6) = 4(x + 8) Reorder the terms: 2(-6 + 3x) = 4(x + 8) (-6 * 2 + 3x * 2) = 4(x + 8) (-12 + 6x) = 4(x + 8) Reorder the terms: -12 + 6x = 4(8 + x) -12 + 6x = (8 * 4 + x * 4) -12 + 6x = (32 + 4x) Solving -12 + 6x = 32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 6x + -4x = 32 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = 32 + 0 -12 + 2x = 32 Add '12' to each side of the equation. -12 + 12 + 2x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 32 + 12 2x = 32 + 12 Combine like terms: 32 + 12 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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