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Simplifying 6(3x + -4) + -2x = 2x + 4 Reorder the terms: 6(-4 + 3x) + -2x = 2x + 4 (-4 * 6 + 3x * 6) + -2x = 2x + 4 (-24 + 18x) + -2x = 2x + 4 Combine like terms: 18x + -2x = 16x -24 + 16x = 2x + 4 Reorder the terms: -24 + 16x = 4 + 2x Solving -24 + 16x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 16x + -2x = 4 + 2x + -2x Combine like terms: 16x + -2x = 14x -24 + 14x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 14x = 4 + 0 -24 + 14x = 4 Add '24' to each side of the equation. -24 + 24 + 14x = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 4 + 24 14x = 4 + 24 Combine like terms: 4 + 24 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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