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Simplifying 3(6x + -4) = 4(x + 4) Reorder the terms: 3(-4 + 6x) = 4(x + 4) (-4 * 3 + 6x * 3) = 4(x + 4) (-12 + 18x) = 4(x + 4) Reorder the terms: -12 + 18x = 4(4 + x) -12 + 18x = (4 * 4 + x * 4) -12 + 18x = (16 + 4x) Solving -12 + 18x = 16 + 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 + 18x + -4x = 16 + 4x + -4x Combine like terms: 18x + -4x = 14x -12 + 14x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 14x = 16 + 0 -12 + 14x = 16 Add '12' to each side of the equation. -12 + 12 + 14x = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 16 + 12 14x = 16 + 12 Combine like terms: 16 + 12 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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