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Simplifying 2(3x + -4) + 4 = 5x + 10 Reorder the terms: 2(-4 + 3x) + 4 = 5x + 10 (-4 * 2 + 3x * 2) + 4 = 5x + 10 (-8 + 6x) + 4 = 5x + 10 Reorder the terms: -8 + 4 + 6x = 5x + 10 Combine like terms: -8 + 4 = -4 -4 + 6x = 5x + 10 Reorder the terms: -4 + 6x = 10 + 5x Solving -4 + 6x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x -4 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 1x = 10 + 0 -4 + 1x = 10 Add '4' to each side of the equation. -4 + 4 + 1x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 10 + 4 1x = 10 + 4 Combine like terms: 10 + 4 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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