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Simplifying 10x + -2 = 3(x + 4) Reorder the terms: -2 + 10x = 3(x + 4) Reorder the terms: -2 + 10x = 3(4 + x) -2 + 10x = (4 * 3 + x * 3) -2 + 10x = (12 + 3x) Solving -2 + 10x = 12 + 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. -2 + 10x + -3x = 12 + 3x + -3x Combine like terms: 10x + -3x = 7x -2 + 7x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 7x = 12 + 0 -2 + 7x = 12 Add '2' to each side of the equation. -2 + 2 + 7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 12 + 2 7x = 12 + 2 Combine like terms: 12 + 2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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