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Simplifying 2(3x + -4) = 4(x + 3) + 6 Reorder the terms: 2(-4 + 3x) = 4(x + 3) + 6 (-4 * 2 + 3x * 2) = 4(x + 3) + 6 (-8 + 6x) = 4(x + 3) + 6 Reorder the terms: -8 + 6x = 4(3 + x) + 6 -8 + 6x = (3 * 4 + x * 4) + 6 -8 + 6x = (12 + 4x) + 6 Reorder the terms: -8 + 6x = 12 + 6 + 4x Combine like terms: 12 + 6 = 18 -8 + 6x = 18 + 4x Solving -8 + 6x = 18 + 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. -8 + 6x + -4x = 18 + 4x + -4x Combine like terms: 6x + -4x = 2x -8 + 2x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 2x = 18 + 0 -8 + 2x = 18 Add '8' to each side of the equation. -8 + 8 + 2x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 18 + 8 2x = 18 + 8 Combine like terms: 18 + 8 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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