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Simplifying 2(4x + -6) = 2(3x + 4) Reorder the terms: 2(-6 + 4x) = 2(3x + 4) (-6 * 2 + 4x * 2) = 2(3x + 4) (-12 + 8x) = 2(3x + 4) Reorder the terms: -12 + 8x = 2(4 + 3x) -12 + 8x = (4 * 2 + 3x * 2) -12 + 8x = (8 + 6x) Solving -12 + 8x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -12 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 2x = 8 + 0 -12 + 2x = 8 Add '12' to each side of the equation. -12 + 12 + 2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 8 + 12 2x = 8 + 12 Combine like terms: 8 + 12 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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