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