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Simplifying 2(5x + -4) + -6 = 3x + 21 Reorder the terms: 2(-4 + 5x) + -6 = 3x + 21 (-4 * 2 + 5x * 2) + -6 = 3x + 21 (-8 + 10x) + -6 = 3x + 21 Reorder the terms: -8 + -6 + 10x = 3x + 21 Combine like terms: -8 + -6 = -14 -14 + 10x = 3x + 21 Reorder the terms: -14 + 10x = 21 + 3x Solving -14 + 10x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 10x + -3x = 21 + 3x + -3x Combine like terms: 10x + -3x = 7x -14 + 7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 7x = 21 + 0 -14 + 7x = 21 Add '14' to each side of the equation. -14 + 14 + 7x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 21 + 14 7x = 21 + 14 Combine like terms: 21 + 14 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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